home *** CD-ROM | disk | FTP | other *** search
| Unknown | 1996-07-10 | 11.9 KB |
open in: 
MacOS 8.1
|
Win98
|
DOS
view JSON data
|
view as text
This file was not able to be converted.
This format is not currently supported by dexvert.
| Confidence | Program | Detection | Match Type | Support
|
|---|
| 1%
| dexvert
| Eclipse Tutorial (other/eclipseTutorial)
| ext
| Unsupported |
| 1%
| dexvert
| JuggleKrazy Tutorial (other/juggleKrazyTutorial)
| ext
| Unsupported |
| 100%
| file
| data
| default
| |
| 100%
| gt2
| Kopftext: 'TUTOR 06'
| default (weak)
|
|
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 54 55 54 4f 52 20 30 36 | 81 2e 00 00 27 01 00 00 |TUTOR 06|....'...|
|00000010| 53 65 63 74 69 6f 6e 20 | 31 2e 33 20 20 4d 6f 64 |Section |1.3 Mod|
|00000020| 65 6c 69 6e 67 20 77 69 | 74 68 20 4c 69 6e 65 61 |eling wi|th Linea|
|00000030| 72 20 45 71 75 61 74 69 | 6f 6e 73 0d 0a 00 0d 0a |r Equati|ons.....|
|00000040| 00 0e 65 31 2d 33 2d 31 | 0e 47 75 69 64 65 64 20 |..e1-3-1|.Guided |
|00000050| 45 78 61 6d 70 6c 65 20 | 20 31 0f 20 20 43 6f 6e |Example | 1. Con|
|00000060| 76 65 72 74 69 6e 67 20 | 45 78 70 72 65 73 73 69 |verting |Expressi|
|00000070| 6f 6e 73 20 66 72 6f 6d | 20 56 65 72 62 61 6c 20 |ons from| Verbal |
|00000080| 46 6f 72 6d 20 74 6f 20 | 41 6c 67 65 62 72 61 69 |Form to |Algebrai|
|00000090| 63 20 46 6f 72 6d 0d 0a | 00 0d 0b 00 0e 65 31 2d |c Form..|.....e1-|
|000000a0| 33 2d 32 0e 47 75 69 64 | 65 64 20 45 78 61 6d 70 |3-2.Guid|ed Examp|
|000000b0| 6c 65 20 20 32 0f 20 20 | 43 6f 6e 76 65 72 74 69 |le 2. |Converti|
|000000c0| 6e 67 20 45 78 70 72 65 | 73 73 69 6f 6e 73 20 66 |ng Expre|ssions f|
|000000d0| 72 6f 6d 20 56 65 72 62 | 61 6c 20 46 6f 72 6d 20 |rom Verb|al Form |
|000000e0| 74 6f 20 41 6c 67 65 62 | 72 61 69 63 20 46 6f 72 |to Algeb|raic For|
|000000f0| 6d 0d 0a 00 0d 0b 00 0e | 65 31 2d 33 2d 33 0e 47 |m.......|e1-3-3.G|
|00000100| 75 69 64 65 64 20 45 78 | 61 6d 70 6c 65 20 20 33 |uided Ex|ample 3|
|00000110| 0f 20 20 43 6f 6e 73 74 | 72 75 63 74 69 6e 67 20 |. Const|ructing |
|00000120| 61 6e 64 20 55 73 69 6e | 67 20 61 20 4d 61 74 68 |and Usin|g a Math|
|00000130| 65 6d 61 74 69 63 61 6c | 20 4d 6f 64 65 6c 0d 0a |ematical| Model..|
|00000140| 00 0d 0b 00 0e 65 31 2d | 33 2d 34 0e 47 75 69 64 |.....e1-|3-4.Guid|
|00000150| 65 64 20 45 78 61 6d 70 | 6c 65 20 20 34 0f 20 20 |ed Examp|le 4. |
|00000160| 53 6f 6c 76 69 6e 67 20 | 61 20 50 65 72 63 65 6e |Solving |a Percen|
|00000170| 74 20 45 71 75 61 74 69 | 6f 6e 0d 0a 00 0d 0b 00 |t Equati|on......|
|00000180| 0e 65 31 2d 33 2d 35 0e | 47 75 69 64 65 64 20 45 |.e1-3-5.|Guided E|
|00000190| 78 61 6d 70 6c 65 20 20 | 35 0f 20 20 53 6f 6c 76 |xample |5. Solv|
|000001a0| 69 6e 67 20 61 20 50 65 | 72 63 65 6e 74 20 45 71 |ing a Pe|rcent Eq|
|000001b0| 75 61 74 69 6f 6e 0d 0a | 00 0d 0b 00 0e 65 31 2d |uation..|.....e1-|
|000001c0| 33 2d 36 0e 47 75 69 64 | 65 64 20 45 78 61 6d 70 |3-6.Guid|ed Examp|
|000001d0| 6c 65 20 20 36 0f 20 20 | 41 20 44 69 73 74 61 6e |le 6. |A Distan|
|000001e0| 63 65 20 50 72 6f 62 6c | 65 6d 0d 0a 00 0d 0b 00 |ce Probl|em......|
|000001f0| 0e 65 31 2d 33 2d 37 0e | 47 75 69 64 65 64 20 45 |.e1-3-7.|Guided E|
|00000200| 78 61 6d 70 6c 65 20 20 | 37 0f 20 20 41 20 53 69 |xample |7. A Si|
|00000210| 6d 70 6c 65 20 49 6e 74 | 65 72 65 73 74 20 50 72 |mple Int|erest Pr|
|00000220| 6f 62 6c 65 6d 0d 0a 00 | 0d 0b 00 0e 69 31 2d 33 |oblem...|....i1-3|
|00000230| 2d 31 0e 49 6e 74 65 67 | 72 61 74 65 64 20 45 78 |-1.Integ|rated Ex|
|00000240| 61 6d 70 6c 65 20 20 31 | 0f 20 20 46 69 6e 64 69 |ample 1|. Findi|
|00000250| 6e 67 20 74 68 65 20 50 | 65 72 63 65 6e 74 61 67 |ng the P|ercentag|
|00000260| 65 20 49 6e 63 72 65 61 | 73 65 20 66 6f 72 20 61 |e Increa|se for a|
|00000270| 6e 20 49 74 65 6d 0d 0a | 00 0d 0b 00 0e 69 31 2d |n Item..|.....i1-|
|00000280| 33 2d 32 0e 49 6e 74 65 | 67 72 61 74 65 64 20 45 |3-2.Inte|grated E|
|00000290| 78 61 6d 70 6c 65 20 20 | 32 0f 20 20 46 69 6e 64 |xample |2. Find|
|000002a0| 69 6e 67 20 61 6e 20 41 | 76 65 72 61 67 65 0d 0a |ing an A|verage..|
|000002b0| 00 0d 0b 00 0e 65 31 2d | 33 2d 33 0e 49 6e 74 65 |.....e1-|3-3.Inte|
|000002c0| 67 72 61 74 65 64 20 45 | 78 61 6d 70 6c 65 20 20 |grated E|xample |
|000002d0| 33 0f 20 20 52 65 77 72 | 69 74 69 6e 67 20 61 20 |3. Rewr|iting a |
|000002e0| 46 6f 72 6d 75 6c 61 0d | 0a 00 53 65 63 74 69 6f |Formula.|..Sectio|
|000002f0| 6e 20 31 2e 33 20 20 4d | 6f 64 65 6c 69 6e 67 20 |n 1.3 M|odeling |
|00000300| 77 69 74 68 20 4c 69 6e | 65 61 72 20 45 71 75 61 |with Lin|ear Equa|
|00000310| 74 69 6f 6e 73 0d 0b 00 | 57 72 69 74 65 20 61 6e |tions...|Write an|
|00000320| 20 61 6c 67 65 62 72 61 | 69 63 20 65 78 70 72 65 | algebra|ic expre|
|00000330| 73 73 69 6f 6e 20 66 6f | 72 20 74 68 65 20 76 65 |ssion fo|r the ve|
|00000340| 72 62 61 6c 20 65 78 70 | 72 65 73 73 69 6f 6e 2e |rbal exp|ression.|
|00000350| 0d 0a 00 0d 0b 00 54 68 | 65 20 73 75 6d 20 6f 66 |......Th|e sum of|
|00000360| 20 74 68 72 65 65 20 63 | 6f 6e 73 65 63 75 74 69 | three c|onsecuti|
|00000370| 76 65 20 6e 61 74 75 72 | 61 6c 20 6e 75 6d 62 65 |ve natur|al numbe|
|00000380| 72 73 20 69 73 20 34 32 | 36 2e 0d 0a 00 0d 0a 00 |rs is 42|6.......|
|00000390| 13 12 31 53 4f 4c 55 54 | 49 4f 4e 12 30 0d 0a 00 |..1SOLUT|ION.0...|
|000003a0| 0d 0b 00 49 66 20 77 65 | 20 6c 65 74 20 11 33 6e |...If we| let .3n|
|000003b0| 20 11 31 72 65 70 72 65 | 73 65 6e 74 20 74 68 65 | .1repre|sent the|
|000003c0| 20 66 69 72 73 74 20 6e | 61 74 75 72 61 6c 20 6e | first n|atural n|
|000003d0| 75 6d 62 65 72 2c 20 74 | 68 65 20 73 65 63 6f 6e |umber, t|he secon|
|000003e0| 64 20 6e 61 74 75 72 61 | 6c 20 6e 75 6d 62 65 72 |d natura|l number|
|000003f0| 20 69 73 0d 0a 00 11 33 | 6e 20 11 31 2b 20 31 2c | is....3|n .1+ 1,|
|00000400| 20 61 6e 64 20 74 68 65 | 20 74 68 69 72 64 20 6e | and the| third n|
|00000410| 61 74 75 72 61 6c 20 6e | 75 6d 62 65 72 20 69 73 |atural n|umber is|
|00000420| 20 11 33 6e 20 11 31 2b | 20 32 2e 13 0d 0a 00 0d | .3n .1+| 2......|
|00000430| 0b 00 53 69 6e 63 65 20 | 77 65 20 61 72 65 20 74 |..Since |we are t|
|00000440| 6f 6c 64 20 74 68 61 74 | 20 74 68 65 20 73 75 6d |old that| the sum|
|00000450| 20 6f 66 20 74 68 65 73 | 65 20 74 68 72 65 65 20 | of thes|e three |
|00000460| 6e 75 6d 62 65 72 73 20 | 69 73 20 34 32 36 2c 20 |numbers |is 426, |
|00000470| 77 65 20 68 61 76 65 0d | 0a 00 0d 0b 00 20 20 20 |we have.|..... |
|00000480| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|00000490| 33 6e 20 11 31 2b 20 28 | 11 33 6e 20 11 31 2b 20 |3n .1+ (|.3n .1+ |
|000004a0| 31 29 20 2b 20 28 11 33 | 6e 20 11 31 2b 20 32 29 |1) + (.3|n .1+ 2)|
|000004b0| 20 3d 20 34 32 36 2e 13 | 0d 0a 00 0d 0b 00 53 69 | = 426..|......Si|
|000004c0| 6d 70 6c 69 66 79 69 6e | 67 20 74 68 69 73 20 65 |mplifyin|g this e|
|000004d0| 71 75 61 74 69 6f 6e 2c | 20 77 65 20 68 61 76 65 |quation,| we have|
|000004e0| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |...... | |
|000004f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000500| 33 11 33 6e 20 11 31 2b | 20 33 20 3d 20 34 32 36 |3.3n .1+| 3 = 426|
|00000510| 2e 0d 0a 00 53 65 63 74 | 69 6f 6e 20 31 2e 33 20 |....Sect|ion 1.3 |
|00000520| 20 4d 6f 64 65 6c 69 6e | 67 20 77 69 74 68 20 4c | Modelin|g with L|
|00000530| 69 6e 65 61 72 20 45 71 | 75 61 74 69 6f 6e 73 0d |inear Eq|uations.|
|00000540| 0b 00 57 72 69 74 65 20 | 61 6e 20 61 6c 67 65 62 |..Write |an algeb|
|00000550| 72 61 69 63 20 65 78 70 | 72 65 73 73 69 6f 6e 20 |raic exp|ression |
|00000560| 66 6f 72 20 74 68 65 20 | 76 65 72 62 61 6c 20 65 |for the |verbal e|
|00000570| 78 70 72 65 73 73 69 6f | 6e 2e 0d 0a 00 0d 0b 00 |xpressio|n.......|
|00000580| 59 6f 75 72 20 63 6f 73 | 74 20 77 69 6c 6c 20 62 |Your cos|t will b|
|00000590| 65 20 74 68 65 20 74 69 | 63 6b 65 74 20 70 72 69 |e the ti|cket pri|
|000005a0| 63 65 20 70 6c 75 73 20 | 73 61 6c 65 73 20 74 61 |ce plus |sales ta|
|000005b0| 78 2c 20 77 68 69 63 68 | 20 69 73 20 36 25 20 6f |x, which| is 6% o|
|000005c0| 66 20 74 68 65 0d 0a 00 | 74 69 63 6b 65 74 20 70 |f the...|ticket p|
|000005d0| 72 69 63 65 2e 0d 0a 00 | 0d 0b 00 13 12 31 53 4f |rice....|.....1SO|
|000005e0| 4c 55 54 49 4f 4e 12 30 | 0d 0a 00 0d 0b 00 4c 65 |LUTION.0|......Le|
|000005f0| 74 20 11 33 43 20 11 31 | 62 65 20 79 6f 75 72 20 |t .3C .1|be your |
|00000600| 63 6f 73 74 20 61 6e 64 | 20 6c 65 74 20 11 33 70 |cost and| let .3p|
|00000610| 20 11 31 62 65 20 74 68 | 65 20 74 69 63 6b 65 74 | .1be th|e ticket|
|00000620| 20 70 72 69 63 65 2e 13 | 0d 0a 00 0d 0b 00 54 68 | price..|......Th|
|00000630| 65 20 65 78 70 72 65 73 | 73 69 6f 6e 20 73 74 61 |e expres|sion sta|
|00000640| 74 65 73 20 22 79 6f 75 | 72 20 63 6f 73 74 20 77 |tes "you|r cost w|
|00000650| 69 6c 6c 20 62 65 22 2c | 20 66 72 6f 6d 20 77 68 |ill be",| from wh|
|00000660| 69 63 68 20 77 65 20 67 | 65 74 2c 0d 0a 00 0d 0b |ich we g|et,.....|
|00000670| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |. | |
|00000680| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 12 31 11 | | .1.|
|00000690| 33 43 20 11 31 3d 12 30 | 2e 13 0d 0a 00 0d 0b 00 |3C .1=.0|........|
|000006a0| 49 74 20 74 68 65 6e 20 | 73 74 61 74 65 73 20 22 |It then |states "|
|000006b0| 74 68 65 20 74 69 63 6b | 65 74 20 70 72 69 63 65 |the tick|et price|
|000006c0| 20 70 6c 75 73 22 2c 20 | 66 72 6f 6d 20 77 68 69 | plus", |from whi|
|000006d0| 63 68 20 77 65 20 67 65 | 74 2c 0d 0a 00 0d 0b 00 |ch we ge|t,......|
|000006e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000006f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 33 43 20 | | .3C |
|00000700| 11 31 3d 20 12 31 11 33 | 70 20 11 31 2b 12 30 2e |.1= .1.3|p .1+.0.|
|00000710| 13 0d 0a 00 0d 0b 00 46 | 69 6e 61 6c 6c 79 2c 20 |.......F|inally, |
|00000720| 77 65 20 6e 6f 74 65 20 | 74 68 65 20 65 78 70 72 |we note |the expr|
|00000730| 65 73 73 69 6f 6e 20 22 | 36 25 20 6f 66 20 74 68 |ession "|6% of th|
|00000740| 65 20 74 69 63 6b 65 74 | 20 70 72 69 63 65 22 2c |e ticket| price",|
|00000750| 20 66 72 6f 6d 20 77 68 | 69 63 68 20 77 65 20 67 | from wh|ich we g|
|00000760| 65 74 2c 0d 0a 00 0d 0b | 00 20 20 20 20 20 20 20 |et,.....|. |
|00000770| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000780| 20 20 20 20 20 11 33 43 | 20 11 31 3d 20 11 33 70 | .3C| .1= .3p|
|00000790| 20 11 31 2b 20 12 31 30 | 2e 30 36 11 33 70 11 31 | .1+ .10|.06.3p.1|
|000007a0| 12 30 2e 13 0d 0a 00 0d | 0b 00 4f 75 72 20 66 69 |.0......|..Our fi|
|000007b0| 6e 61 6c 20 65 78 70 72 | 65 73 73 69 6f 6e 20 69 |nal expr|ession i|
|000007c0| 73 20 74 68 65 72 65 66 | 6f 72 65 0d 0a 00 0d 0b |s theref|ore.....|
|000007d0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |. | |
|000007e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 33 43 | | .3C|
|000007f0| 20 11 31 3d 20 11 33 70 | 20 11 31 2b 20 30 2e 30 | .1= .3p| .1+ 0.0|
|00000800| 36 11 33 70 11 31 2e 0d | 0a 00 53 65 63 74 69 6f |6.3p.1..|..Sectio|
|00000810| 6e 20 31 2e 33 20 20 4d | 6f 64 65 6c 69 6e 67 20 |n 1.3 M|odeling |
|00000820| 77 69 74 68 20 4c 69 6e | 65 61 72 20 45 71 75 61 |with Lin|ear Equa|
|00000830| 74 69 6f 6e 73 0d 0b 00 | 4f 6e 65 20 70 6f 73 69 |tions...|One posi|
|00000840| 74 69 76 65 20 6e 75 6d | 62 65 72 20 69 73 20 74 |tive num|ber is t|
|00000850| 68 72 65 65 20 74 69 6d | 65 73 20 61 6e 6f 74 68 |hree tim|es anoth|
|00000860| 65 72 20 70 6f 73 69 74 | 69 76 65 20 6e 75 6d 62 |er posit|ive numb|
|00000870| 65 72 2e 20 20 54 68 65 | 20 64 69 66 66 65 72 65 |er. The| differe|
|00000880| 6e 63 65 0d 0a 00 62 65 | 74 77 65 65 6e 20 74 68 |nce...be|tween th|
|00000890| 65 20 74 77 6f 20 6e 75 | 6d 62 65 72 73 20 69 73 |e two nu|mbers is|
|000008a0| 20 33 34 2e 20 20 46 69 | 6e 64 20 74 68 65 20 6e | 34. Fi|nd the n|
|000008b0| 75 6d 62 65 72 73 2e 0d | 0a 00 0d 0b 00 13 12 31 |umbers..|.......1|
|000008c0| 53 4f 4c 55 54 49 4f 4e | 12 30 0d 0a 00 20 20 20 |SOLUTION|.0... |
|000008d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 34 5b 32 | | .4[2|
|000008e0| 32 32 32 32 32 32 32 32 | 32 5d 20 20 20 5b 32 32 |22222222|2] [22|
|000008f0| 32 32 32 32 32 32 32 32 | 32 32 32 5d 20 20 20 5b |22222222|222] [|
|00000900| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 5d 0d |22222222|222222].|
|00000910| 0b 00 11 31 56 65 72 62 | 61 6c 20 6d 6f 64 65 6c |...1Verb|al model|
|00000920| 3a 20 20 11 34 21 11 32 | 44 69 66 66 65 72 65 6e |: .4!.2|Differen|
|00000930| 63 65 11 34 21 20 11 31 | 3d 20 11 34 21 11 32 4c |ce.4! .1|= .4!.2L|
|00000940| 61 72 67 65 72 20 6e 75 | 6d 62 65 72 11 34 21 20 |arger nu|mber.4! |
|00000950| 11 31 2d 20 11 34 21 11 | 32 53 6d 61 6c 6c 65 72 |.1- .4!.|2Smaller|
|00000960| 20 6e 75 6d 62 65 72 11 | 34 21 0d 0b 00 20 20 20 | number.|4!... |
|00000970| 20 20 20 20 20 20 20 20 | 20 20 20 20 6c 32 32 32 | | l222|
|00000980| 32 32 32 32 32 32 32 6a | 20 20 20 6c 32 32 32 32 |2222222j| l2222|
|00000990| 32 32 32 32 32 32 32 32 | 32 6a 20 20 20 6c 32 32 |22222222|2j l22|
|000009a0| 32 32 32 32 32 32 32 32 | 32 32 32 32 6a 11 31 13 |22222222|2222j.1.|
|000009b0| 0d 0a 00 20 20 20 20 20 | 20 4c 61 62 65 6c 73 3a |... | Labels:|
|000009c0| 20 20 53 6d 61 6c 6c 65 | 72 20 6e 75 6d 62 65 72 | Smalle|r number|
|000009d0| 20 3d 20 11 33 78 11 31 | 13 0d 0a 00 20 20 20 20 | = .3x.1|.... |
|000009e0| 20 20 20 20 20 20 20 20 | 20 20 20 4c 61 72 67 65 | | Large|
|000009f0| 72 20 6e 75 6d 62 65 72 | 20 3d 20 33 11 33 78 11 |r number| = 3.3x.|
|00000a00| 31 13 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 20 |1.... | |
|00000a10| 20 20 20 20 44 69 66 66 | 65 72 65 6e 63 65 20 3d | Diff|erence =|
|00000a20| 20 33 34 13 0d 0a 00 0d | 0b 00 20 20 20 20 45 71 | 34.....|.. Eq|
|00000a30| 75 61 74 69 6f 6e 3a 20 | 20 33 34 20 3d 20 33 11 |uation: | 34 = 3.|
|00000a40| 33 78 20 11 31 2d 20 11 | 33 78 11 31 13 0d 0a 00 |3x .1- .|3x.1....|
|00000a50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 33 | | 3|
|00000a60| 34 20 3d 20 32 11 33 78 | 11 31 13 0d 0a 00 20 20 |4 = 2.3x|.1.... |
|00000a70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 31 37 20 | | 17 |
|00000a80| 3d 20 11 33 78 11 31 13 | 0d 0a 00 0d 0b 00 54 68 |= .3x.1.|......Th|
|00000a90| 65 72 65 66 6f 72 65 2c | 20 74 68 65 20 73 6d 61 |erefore,| the sma|
|00000aa0| 6c 6c 65 72 20 6e 75 6d | 62 65 72 20 69 73 20 11 |ller num|ber is .|
|00000ab0| 33 78 20 11 31 3d 20 31 | 37 20 61 6e 64 20 74 68 |3x .1= 1|7 and th|
|00000ac0| 65 20 6c 61 72 67 65 72 | 20 6e 75 6d 62 65 72 20 |e larger| number |
|00000ad0| 69 73 0d 0a 00 33 11 33 | 78 20 11 31 3d 20 33 28 |is...3.3|x .1= 3(|
|00000ae0| 31 37 29 20 3d 20 35 31 | 2e 0d 0a 00 20 20 20 20 |17) = 51|.... |
|00000af0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000b00| 20 20 20 20 33 34 20 3d | 20 35 31 20 2d 20 31 37 | 34 =| 51 - 17|
|00000b10| 0d 0a 00 53 65 63 74 69 | 6f 6e 20 31 2e 33 20 20 |...Secti|on 1.3 |
|00000b20| 4d 6f 64 65 6c 69 6e 67 | 20 77 69 74 68 20 4c 69 |Modeling| with Li|
|00000b30| 6e 65 61 72 20 45 71 75 | 61 74 69 6f 6e 73 0d 0b |near Equ|ations..|
|00000b40| 00 57 68 61 74 20 69 73 | 20 31 38 25 20 6f 66 20 |.What is| 18% of |
|00000b50| 33 35 30 3f 0d 0a 00 0d | 0b 00 13 12 31 53 4f 4c |350?....|....1SOL|
|00000b60| 55 54 49 4f 4e 12 30 0d | 0a 00 20 20 20 20 20 20 |UTION.0.|.. |
|00000b70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 34 5b | | .4[|
|00000b80| 32 32 32 32 32 32 32 32 | 5d 20 20 20 5b 32 32 32 |22222222|] [222|
|00000b90| 32 32 32 32 32 32 32 32 | 32 32 32 5d 20 20 20 5b |22222222|222] [|
|00000ba0| 32 32 32 32 32 32 5d 0d | 0b 00 20 20 20 20 20 20 |222222].|.. |
|00000bb0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 21 11 32 | | !.2|
|00000bc0| 43 6f 6d 70 61 72 65 64 | 11 34 21 20 20 20 21 11 |Compared|.4! !.|
|00000bd0| 32 50 65 72 63 65 6e 74 | 20 20 20 20 20 20 20 11 |2Percent| .|
|00000be0| 34 21 20 20 20 21 11 32 | 42 61 73 65 20 20 11 34 |4! !.2|Base .4|
|00000bf0| 21 0d 0b 00 20 20 20 20 | 11 31 56 65 72 62 61 6c |!... |.1Verbal|
|00000c00| 20 6d 6f 64 65 6c 3a 20 | 20 11 34 21 20 20 20 20 | model: | .4! |
|00000c10| 20 20 20 20 21 20 11 31 | 3d 20 11 34 21 20 20 20 | ! .1|= .4! |
|00000c20| 20 20 20 20 20 20 20 20 | 20 20 20 21 20 2a 20 21 | | ! * !|
|00000c30| 20 20 20 20 20 20 21 0d | 0b 00 20 20 20 20 20 20 | !.|.. |
|00000c40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 21 11 32 | | !.2|
|00000c50| 6e 75 6d 62 65 72 20 20 | 11 34 21 20 20 20 21 11 |number |.4! !.|
|00000c60| 32 28 64 65 63 69 6d 61 | 6c 20 66 6f 72 6d 29 11 |2(decima|l form).|
|00000c70| 34 21 20 20 20 21 11 32 | 6e 75 6d 62 65 72 11 34 |4! !.2|number.4|
|00000c80| 21 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |!... | |
|00000c90| 20 20 20 20 20 20 20 6c | 32 32 32 32 32 32 32 32 | l|22222222|
|00000ca0| 6a 20 20 20 6c 32 32 32 | 32 32 32 32 32 32 32 32 |j l222|22222222|
|00000cb0| 32 32 32 6a 20 20 20 6c | 32 32 32 32 32 32 6a 11 |222j l|222222j.|
|00000cc0| 31 13 0d 0a 00 0d 0b 00 | 20 20 20 20 20 20 20 20 |1.......| |
|00000cd0| 20 20 4c 61 62 65 6c 73 | 3a 20 20 11 33 61 20 11 | Labels|: .3a .|
|00000ce0| 31 3d 20 63 6f 6d 70 61 | 72 65 64 20 6e 75 6d 62 |1= compa|red numb|
|00000cf0| 65 72 13 0d 0a 00 0d 0b | 00 20 20 20 20 20 20 20 |er......|. |
|00000d00| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 33 62 20 | | .3b |
|00000d10| 11 31 3d 20 62 61 73 65 | 20 6e 75 6d 62 65 72 20 |.1= base| number |
|00000d20| 3d 20 33 35 30 13 0d 0a | 00 0d 0b 00 20 20 20 20 |= 350...|.... |
|00000d30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|00000d40| 33 70 20 11 31 3d 20 31 | 38 25 20 3d 20 30 2e 31 |3p .1= 1|8% = 0.1|
|00000d50| 38 13 0d 0a 00 0d 0a 00 | 50 65 72 63 65 6e 74 20 |8.......|Percent |
|00000d60| 45 71 75 61 74 69 6f 6e | 3a 20 20 11 33 61 20 11 |Equation|: .3a .|
|00000d70| 31 3d 20 11 33 70 20 11 | 34 2a 20 11 33 62 11 31 |1= .3p .|4* .3b.1|
|00000d80| 13 0d 0a 00 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |....... | |
|00000d90| 20 20 20 20 20 20 20 20 | 20 20 11 33 61 20 11 31 | | .3a .1|
|00000da0| 3d 20 28 30 2e 31 38 29 | 28 33 35 30 29 20 3d 20 |= (0.18)|(350) = |
|00000db0| 36 33 13 0d 0a 00 0d 0a | 00 54 68 65 72 65 66 6f |63......|.Therefo|
|00000dc0| 72 65 2c 20 36 33 20 69 | 73 20 31 38 25 20 6f 66 |re, 63 i|s 18% of|
|00000dd0| 20 33 35 30 2e 0d 0a 00 | 53 65 63 74 69 6f 6e 20 | 350....|Section |
|00000de0| 31 2e 33 20 20 4d 6f 64 | 65 6c 69 6e 67 20 77 69 |1.3 Mod|eling wi|
|00000df0| 74 68 20 4c 69 6e 65 61 | 72 20 45 71 75 61 74 69 |th Linea|r Equati|
|00000e00| 6f 6e 73 0d 0b 00 30 2e | 35 25 20 6f 66 20 77 68 |ons...0.|5% of wh|
|00000e10| 61 74 20 6e 75 6d 62 65 | 72 20 69 73 20 33 2e 31 |at numbe|r is 3.1|
|00000e20| 32 3f 0d 0a 00 0d 0b 00 | 13 12 31 53 4f 4c 55 54 |2?......|..1SOLUT|
|00000e30| 49 4f 4e 12 30 0d 0a 00 | 20 20 20 20 20 20 20 20 |ION.0...| |
|00000e40| 20 20 20 20 20 20 20 20 | 20 20 20 11 34 5b 32 32 | | .4[22|
|00000e50| 32 32 32 32 32 32 5d 20 | 20 20 5b 32 32 32 32 32 |222222] | [22222|
|00000e60| 32 32 32 32 32 32 32 32 | 32 5d 20 20 20 5b 32 32 |22222222|2] [22|
|00000e70| 32 32 32 32 5d 0d 0b 00 | 20 20 20 20 20 20 20 20 |2222]...| |
|00000e80| 20 20 20 20 20 20 20 20 | 20 20 20 21 11 32 43 6f | | !.2Co|
|00000e90| 6d 70 61 72 65 64 11 34 | 21 20 20 20 21 11 32 50 |mpared.4|! !.2P|
|00000ea0| 65 72 63 65 6e 74 20 20 | 20 20 20 20 20 11 34 21 |ercent | .4!|
|00000eb0| 20 20 20 21 11 32 42 61 | 73 65 20 20 11 34 21 0d | !.2Ba|se .4!.|
|00000ec0| 0b 00 20 20 20 20 11 31 | 56 65 72 62 61 6c 20 6d |.. .1|Verbal m|
|00000ed0| 6f 64 65 6c 3a 20 20 11 | 34 21 20 20 20 20 20 20 |odel: .|4! |
|00000ee0| 20 20 21 20 11 31 3d 20 | 11 34 21 20 20 20 20 20 | ! .1= |.4! |
|00000ef0| 20 20 20 20 20 20 20 20 | 20 21 20 2a 20 21 20 20 | | ! * ! |
|00000f00| 20 20 20 20 21 0d 0b 00 | 20 20 20 20 20 20 20 20 | !...| |
|00000f10| 20 20 20 20 20 20 20 20 | 20 20 20 21 11 32 6e 75 | | !.2nu|
|00000f20| 6d 62 65 72 20 20 11 34 | 21 20 20 20 21 11 32 28 |mber .4|! !.2(|
|00000f30| 64 65 63 69 6d 61 6c 20 | 66 6f 72 6d 29 11 34 21 |decimal |form).4!|
|00000f40| 20 20 20 21 11 32 6e 75 | 6d 62 65 72 11 34 21 0d | !.2nu|mber.4!.|
|00000f50| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.. | |
|00000f60| 20 20 20 20 20 6c 32 32 | 32 32 32 32 32 32 6a 20 | l22|222222j |
|00000f70| 20 20 6c 32 32 32 32 32 | 32 32 32 32 32 32 32 32 | l22222|22222222|
|00000f80| 32 6a 20 20 20 6c 32 32 | 32 32 32 32 6a 11 31 13 |2j l22|2222j.1.|
|00000f90| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |...... | |
|00000fa0| 4c 61 62 65 6c 73 3a 20 | 20 11 33 61 20 11 31 3d |Labels: | .3a .1=|
|00000fb0| 20 63 6f 6d 70 61 72 65 | 64 20 6e 75 6d 62 65 72 | compare|d number|
|00000fc0| 20 3d 20 33 2e 31 32 13 | 0d 0a 00 0d 0b 00 20 20 | = 3.12.|...... |
|00000fd0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000fe0| 20 11 33 62 20 11 31 3d | 20 62 61 73 65 20 6e 75 | .3b .1=| base nu|
|00000ff0| 6d 62 65 72 13 0d 0a 00 | 0d 0b 00 20 20 20 20 20 |mber....|... |
|00001000| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 33 | | .3|
|00001010| 70 20 11 31 3d 20 30 2e | 35 25 20 3d 20 30 2e 30 |p .1= 0.|5% = 0.0|
|00001020| 30 35 13 0d 0a 00 0d 0a | 00 50 65 72 63 65 6e 74 |05......|.Percent|
|00001030| 20 45 71 75 61 74 69 6f | 6e 3a 20 20 11 33 61 20 | Equatio|n: .3a |
|00001040| 11 31 3d 20 11 33 70 20 | 11 34 2a 20 11 33 62 11 |.1= .3p |.4* .3b.|
|00001050| 31 13 0d 0a 00 0d 0b 00 | 20 20 20 20 20 20 20 20 |1.......| |
|00001060| 20 20 20 20 20 20 20 20 | 33 2e 31 32 20 3d 20 30 | |3.12 = 0|
|00001070| 2e 30 30 35 11 33 62 11 | 31 13 0d 0a 00 0d 0b 00 |.005.3b.|1.......|
|00001080| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001090| 33 2e 31 32 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |3.12... | |
|000010a0| 20 20 20 20 20 20 11 34 | 32 32 32 32 32 20 11 31 | .4|22222 .1|
|000010b0| 3d 20 11 33 62 20 20 20 | 20 20 11 34 35 35 35 36 |= .3b | .45556|
|000010c0| 20 20 20 20 20 11 33 62 | 20 11 31 3d 20 36 32 34 | .3b| .1= 624|
|000010d0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |... | |
|000010e0| 20 20 30 2e 30 30 35 20 | 20 20 20 20 20 20 20 20 | 0.005 | |
|000010f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001100| 13 0d 0a 00 0d 0b 00 54 | 68 65 72 65 66 6f 72 65 |.......T|herefore|
|00001110| 2c 20 33 2e 31 32 20 69 | 73 20 30 2e 35 25 20 6f |, 3.12 i|s 0.5% o|
|00001120| 66 20 36 32 34 2e 0d 0a | 00 53 65 63 74 69 6f 6e |f 624...|.Section|
|00001130| 20 31 2e 33 20 20 4d 6f | 64 65 6c 69 6e 67 20 77 | 1.3 Mo|deling w|
|00001140| 69 74 68 20 4c 69 6e 65 | 61 72 20 45 71 75 61 74 |ith Line|ar Equat|
|00001150| 69 6f 6e 73 0d 0b 00 4f | 6e 20 74 68 65 20 66 69 |ions...O|n the fi|
|00001160| 72 73 74 20 64 61 79 20 | 6f 66 20 74 68 65 69 72 |rst day |of their|
|00001170| 20 76 61 63 61 74 69 6f | 6e 20 74 68 65 20 53 6d | vacatio|n the Sm|
|00001180| 69 74 68 20 66 61 6d 69 | 6c 79 20 74 72 61 76 65 |ith fami|ly trave|
|00001190| 6c 65 64 20 32 33 30 20 | 6d 69 6c 65 73 20 69 6e |led 230 |miles in|
|000011a0| 20 34 0d 0a 00 68 6f 75 | 72 73 2e 20 20 54 68 65 | 4...hou|rs. The|
|000011b0| 20 6e 65 78 74 20 64 61 | 79 20 74 68 65 79 20 74 | next da|y they t|
|000011c0| 72 61 76 65 6c 20 61 74 | 20 74 68 65 20 73 61 6d |ravel at| the sam|
|000011d0| 65 20 63 6f 6e 73 74 61 | 6e 74 20 73 70 65 65 64 |e consta|nt speed|
|000011e0| 2e 20 20 48 6f 77 20 6c | 6f 6e 67 20 77 69 6c 6c |. How l|ong will|
|000011f0| 0d 0a 00 69 74 20 74 61 | 6b 65 20 74 68 65 6d 20 |...it ta|ke them |
|00001200| 74 6f 20 72 65 61 63 68 | 20 56 61 63 61 74 69 6f |to reach| Vacatio|
|00001210| 6e 20 56 69 6c 6c 61 67 | 65 20 69 66 20 74 68 65 |n Villag|e if the|
|00001220| 79 20 68 61 76 65 20 33 | 31 36 20 6d 6f 72 65 20 |y have 3|16 more |
|00001230| 6d 69 6c 65 73 20 74 6f | 20 74 72 61 76 65 6c 3f |miles to| travel?|
|00001240| 0d 0a 00 0d 0b 00 13 12 | 31 53 4f 4c 55 54 49 4f |........|1SOLUTIO|
|00001250| 4e 12 30 0d 0a 00 0d 0b | 00 46 69 72 73 74 20 77 |N.0.....|.First w|
|00001260| 65 20 6d 75 73 74 20 63 | 61 6c 63 75 6c 61 74 65 |e must c|alculate|
|00001270| 20 74 68 65 69 72 20 73 | 70 65 65 64 20 28 72 61 | their s|peed (ra|
|00001280| 74 65 20 6f 66 20 74 72 | 61 76 65 6c 29 2e 20 20 |te of tr|avel). |
|00001290| 55 73 69 6e 67 20 11 33 | 72 20 11 31 3d 20 11 33 |Using .3|r .1= .3|
|000012a0| 64 11 31 2f 11 33 74 20 | 11 31 77 65 20 68 61 76 |d.1/.3t |.1we hav|
|000012b0| 65 0d 0a 00 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |e...... | |
|000012c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 32 33 30 20 | | 230 |
|000012d0| 6d 69 6c 65 73 0d 0b 00 | 20 20 20 20 20 20 20 20 |miles...| |
|000012e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 34 32 | | .42|
|000012f0| 32 32 32 32 32 32 32 32 | 20 11 31 3d 20 35 37 2e |22222222| .1= 57.|
|00001300| 35 20 6d 69 6c 65 73 20 | 70 65 72 20 68 6f 75 72 |5 miles |per hour|
|00001310| 2e 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |.... | |
|00001320| 20 20 20 20 20 20 20 20 | 20 20 34 20 68 6f 75 72 | | 4 hour|
|00001330| 73 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |s | |
|00001340| 20 20 20 20 20 20 20 20 | 20 20 13 0d 0a 00 0d 0b | | ......|
|00001350| 00 57 65 20 63 61 6e 20 | 66 69 6e 64 20 74 68 65 |.We can |find the|
|00001360| 20 74 69 6d 65 20 69 74 | 20 74 61 6b 65 73 20 74 | time it| takes t|
|00001370| 6f 20 64 72 69 76 65 20 | 33 31 36 20 6d 6f 72 65 |o drive |316 more|
|00001380| 20 6d 69 6c 65 73 20 62 | 79 20 75 73 69 6e 67 20 | miles b|y using |
|00001390| 74 68 65 20 66 6f 72 6d | 75 6c 61 0d 0a 00 11 33 |the form|ula....3|
|000013a0| 74 20 11 31 3d 20 11 33 | 64 11 31 2f 11 33 72 11 |t .1= .3|d.1/.3r.|
|000013b0| 31 2e 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 20 |1.... | |
|000013c0| 20 20 20 20 20 20 20 20 | 20 20 33 31 36 20 6d 69 | | 316 mi|
|000013d0| 6c 65 73 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |les... | |
|000013e0| 20 20 20 20 20 20 20 20 | 20 20 20 11 34 32 32 32 | | .4222|
|000013f0| 32 32 32 32 32 32 20 11 | 31 3d 20 35 2e 34 39 35 |222222 .|1= 5.495|
|00001400| 36 35 32 31 37 34 20 68 | 6f 75 72 73 0d 0b 00 20 |652174 h|ours... |
|00001410| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001420| 20 20 20 20 35 37 2e 35 | 20 6d 70 68 20 20 20 20 | 57.5| mph |
|00001430| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001440| 20 13 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 20 | .... | |
|00001450| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001460| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001470| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 32 31 | | .21|
|00001480| 0d 0b 00 11 31 54 68 65 | 72 65 66 6f 72 65 2c 20 |....1The|refore, |
|00001490| 77 65 20 63 6f 6e 63 6c | 75 64 65 20 74 68 61 74 |we concl|ude that|
|000014a0| 20 69 74 20 77 69 6c 6c | 20 74 61 6b 65 20 61 70 | it will| take ap|
|000014b0| 70 72 6f 78 69 6d 61 74 | 65 6c 79 20 35 11 32 2d |proximat|ely 5.2-|
|000014c0| 20 11 31 68 6f 75 72 73 | 20 66 6f 72 20 74 68 65 | .1hours| for the|
|000014d0| 20 53 6d 69 74 68 0d 0b | 00 20 20 20 20 20 20 20 | Smith..|. |
|000014e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000014f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001500| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001510| 20 11 32 32 0d 0a 00 11 | 31 66 61 6d 69 6c 79 20 | .22....|1family |
|00001520| 74 6f 20 72 65 61 63 68 | 20 56 61 63 61 74 69 6f |to reach| Vacatio|
|00001530| 6e 20 56 69 6c 6c 61 67 | 65 2e 0d 0a 00 53 65 63 |n Villag|e....Sec|
|00001540| 74 69 6f 6e 20 31 2e 33 | 20 20 4d 6f 64 65 6c 69 |tion 1.3| Modeli|
|00001550| 6e 67 20 77 69 74 68 20 | 4c 69 6e 65 61 72 20 45 |ng with |Linear E|
|00001560| 71 75 61 74 69 6f 6e 73 | 0d 0b 00 20 20 20 20 20 |quations|... |
|00001570| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001580| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001590| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000015a0| 20 11 32 31 0d 0b 00 11 | 31 53 75 70 70 6f 73 65 | .21....|1Suppose|
|000015b0| 20 79 6f 75 20 69 6e 76 | 65 73 74 20 24 31 30 30 | you inv|est $100|
|000015c0| 30 20 69 6e 20 74 77 6f | 20 66 75 6e 64 73 20 70 |0 in two| funds p|
|000015d0| 61 79 69 6e 67 20 31 30 | 25 20 61 6e 64 20 39 11 |aying 10|% and 9.|
|000015e0| 32 2d 11 31 25 20 73 69 | 6d 70 6c 65 20 69 6e 74 |2-.1% si|mple int|
|000015f0| 65 72 65 73 74 2e 0d 0b | 00 20 20 20 20 20 20 20 |erest...|. |
|00001600| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001610| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001620| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|00001630| 32 34 0d 0a 00 11 31 54 | 68 65 20 74 6f 74 61 6c |24....1T|he total|
|00001640| 20 61 6e 6e 75 61 6c 20 | 69 6e 74 65 72 65 73 74 | annual |interest|
|00001650| 20 69 73 20 24 39 37 2e | 37 35 2e 20 20 48 6f 77 | is $97.|75. How|
|00001660| 20 6d 75 63 68 20 64 69 | 64 20 79 6f 75 20 69 6e | much di|d you in|
|00001670| 76 65 73 74 20 69 6e 20 | 65 61 63 68 20 66 75 6e |vest in |each fun|
|00001680| 64 3f 0d 0a 00 0d 0a 00 | 13 12 31 53 4f 4c 55 54 |d?......|..1SOLUT|
|00001690| 49 4f 4e 12 30 0d 0a 00 | 0d 0b 00 53 69 6d 70 6c |ION.0...|...Simpl|
|000016a0| 65 20 69 6e 74 65 72 65 | 73 74 20 70 72 6f 62 6c |e intere|st probl|
|000016b0| 65 6d 73 20 61 72 65 20 | 62 61 73 65 64 20 6f 6e |ems are |based on|
|000016c0| 20 74 68 65 20 66 6f 72 | 6d 75 6c 61 20 11 33 49 | the for|mula .3I|
|000016d0| 20 11 31 3d 20 11 33 50 | 72 74 11 31 2c 20 77 68 | .1= .3P|rt.1, wh|
|000016e0| 65 72 65 20 49 20 69 73 | 20 74 68 65 0d 0a 00 69 |ere I is| the...i|
|000016f0| 6e 74 65 72 65 73 74 2c | 20 11 33 50 20 11 31 69 |nterest,| .3P .1i|
|00001700| 73 20 74 68 65 20 70 72 | 69 6e 63 69 70 61 6c 2c |s the pr|incipal,|
|00001710| 20 11 33 72 20 11 31 69 | 73 20 74 68 65 20 61 6e | .3r .1i|s the an|
|00001720| 6e 75 61 6c 20 70 65 72 | 63 65 6e 74 61 67 65 20 |nual per|centage |
|00001730| 72 61 74 65 20 28 69 6e | 20 64 65 63 69 6d 61 6c |rate (in| decimal|
|00001740| 20 0d 0a 00 66 6f 72 6d | 29 2c 20 61 6e 64 20 11 | ...form|), and .|
|00001750| 33 74 20 11 31 69 73 20 | 74 68 65 20 74 69 6d 65 |3t .1is |the time|
|00001760| 20 69 6e 20 79 65 61 72 | 73 2e 13 0d 0a 00 0d 0b | in year|s.......|
|00001770| 00 49 6e 20 74 68 69 73 | 20 63 61 73 65 2c 20 77 |.In this| case, w|
|00001780| 65 20 68 61 76 65 20 74 | 77 6f 20 72 61 74 65 73 |e have t|wo rates|
|00001790| 20 61 6e 64 20 74 77 6f | 20 70 72 69 6e 63 69 70 | and two| princip|
|000017a0| 61 6c 73 2e 20 20 4b 65 | 65 70 20 69 6e 20 6d 69 |als. Ke|ep in mi|
|000017b0| 6e 64 20 74 68 61 74 20 | 74 68 65 20 74 77 6f 0d |nd that |the two.|
|000017c0| 0a 00 70 72 69 6e 63 69 | 70 61 6c 73 20 6d 75 73 |..princi|pals mus|
|000017d0| 74 20 61 64 64 20 75 70 | 20 74 6f 20 74 68 65 20 |t add up| to the |
|000017e0| 74 6f 74 61 6c 20 69 6e | 76 65 73 74 6d 65 6e 74 |total in|vestment|
|000017f0| 2e 13 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 20 |..... | |
|00001800| 20 20 20 20 11 34 5b 32 | 32 32 32 32 32 32 32 5d | .4[2|2222222]|
|00001810| 20 20 20 5b 32 32 32 32 | 32 32 32 32 32 32 5d 20 | [2222|222222] |
|00001820| 20 20 5b 32 32 32 32 32 | 32 32 32 5d 0d 0b 00 20 | [22222|222]... |
|00001830| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 21 11 | | !.|
|00001840| 32 49 6e 74 65 72 65 73 | 74 11 34 21 20 20 20 21 |2Interes|t.4! !|
|00001850| 11 32 49 6e 74 65 72 65 | 73 74 20 20 11 34 21 20 |.2Intere|st .4! |
|00001860| 20 20 21 11 32 54 6f 74 | 61 6c 20 20 20 11 34 21 | !.2Tot|al .4!|
|00001870| 0d 0b 00 11 31 56 65 72 | 62 61 6c 20 6d 6f 64 65 |....1Ver|bal mode|
|00001880| 6c 3a 20 20 11 34 21 20 | 20 20 20 20 20 20 20 21 |l: .4! | !|
|00001890| 20 11 31 2b 20 11 34 21 | 20 20 20 20 20 20 20 20 | .1+ .4!| |
|000018a0| 20 20 21 20 11 31 3d 20 | 11 34 21 20 20 20 20 20 | ! .1= |.4! |
|000018b0| 20 20 20 21 0d 0b 00 20 | 20 20 20 20 20 20 20 20 | !... | |
|000018c0| 20 20 20 20 20 20 21 11 | 32 66 72 6f 6d 20 31 30 | !.|2from 10|
|000018d0| 25 11 34 21 20 20 20 21 | 11 32 66 72 6f 6d 20 39 |%.4! !|.2from 9|
|000018e0| 2e 32 35 25 11 34 21 20 | 20 20 21 11 32 69 6e 74 |.25%.4! | !.2int|
|000018f0| 65 72 65 73 74 11 34 21 | 0d 0b 00 20 20 20 20 20 |erest.4!|... |
|00001900| 20 20 20 20 20 20 20 20 | 20 20 6c 32 32 32 32 32 | | l22222|
|00001910| 32 32 32 6a 20 20 20 6c | 32 32 32 32 32 32 32 32 |222j l|22222222|
|00001920| 32 32 6a 20 20 20 6c 32 | 32 32 32 32 32 32 32 6a |22j l2|2222222j|
|00001930| 11 31 13 0d 0a 00 0d 0b | 00 20 20 20 20 20 20 4c |.1......|. L|
|00001940| 61 62 65 6c 73 3a 20 20 | 50 72 69 6e 63 69 70 61 |abels: |Principa|
|00001950| 6c 20 69 6e 76 65 73 74 | 65 64 20 61 74 20 31 30 |l invest|ed at 10|
|00001960| 25 20 3d 20 11 33 78 20 | 20 20 11 31 28 69 6e 20 |% = .3x | .1(in |
|00001970| 64 6f 6c 6c 61 72 73 29 | 13 0d 0a 00 20 20 20 20 |dollars)|.... |
|00001980| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001990| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000019a0| 20 20 11 32 31 0d 0b 00 | 20 20 20 20 20 20 20 20 | .21...| |
|000019b0| 20 20 20 20 20 20 20 11 | 31 50 72 69 6e 63 69 70 | .|1Princip|
|000019c0| 61 6c 20 69 6e 76 65 73 | 74 65 64 20 61 74 20 39 |al inves|ted at 9|
|000019d0| 11 32 2d 11 31 25 20 3d | 20 31 30 30 30 20 2d 20 |.2-.1% =| 1000 - |
|000019e0| 11 33 78 20 20 20 11 31 | 28 69 6e 20 64 6f 6c 6c |.3x .1|(in doll|
|000019f0| 61 72 73 29 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |ars)... | |
|00001a00| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001a10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 32 34 | | .24|
|00001a20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001a30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001a40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001a50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001a60| 20 11 31 2e 0d 0a 00 0d | 0b 00 20 20 20 20 20 20 | .1.....|.. |
|00001a70| 20 20 20 20 20 20 20 20 | 20 49 6e 74 65 72 65 73 | | Interes|
|00001a80| 74 20 66 72 6f 6d 20 31 | 30 25 20 3d 20 11 33 50 |t from 1|0% = .3P|
|00001a90| 72 74 20 11 31 3d 20 28 | 11 33 78 11 31 29 28 30 |rt .1= (|.3x.1)(0|
|00001aa0| 2e 31 30 29 28 31 29 20 | 20 20 28 69 6e 20 64 6f |.10)(1) | (in do|
|00001ab0| 6c 6c 61 72 73 29 13 0d | 0a 00 20 20 20 20 20 20 |llars)..|.. |
|00001ac0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001ad0| 20 20 20 20 20 20 20 20 | 11 32 31 0d 0b 00 20 20 | |.21... |
|00001ae0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 31 49 | | .1I|
|00001af0| 6e 74 65 72 65 73 74 20 | 66 72 6f 6d 20 39 11 32 |nterest |from 9.2|
|00001b00| 2d 11 31 25 20 3d 20 11 | 33 50 72 74 20 11 31 3d |-.1% = .|3Prt .1=|
|00001b10| 20 28 31 30 30 30 20 2d | 20 11 33 78 11 31 29 28 | (1000 -| .3x.1)(|
|00001b20| 30 2e 30 39 32 35 29 28 | 31 29 20 20 20 28 69 6e |0.0925)(|1) (in|
|00001b30| 20 64 6f 6c 6c 61 72 73 | 29 0d 0b 00 20 20 20 20 | dollars|)... |
|00001b40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001b50| 20 20 20 20 20 20 20 20 | 20 20 11 32 34 20 20 20 | | .24 |
|00001b60| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001b70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001b80| 20 20 20 20 20 20 20 20 | 20 20 20 11 31 13 0d 0a | | .1...|
|00001b90| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |. | |
|00001ba0| 54 6f 74 61 6c 20 69 6e | 74 65 72 65 73 74 20 3d |Total in|terest =|
|00001bb0| 20 24 39 37 2e 37 35 13 | 0d 0a 00 0d 0a 00 20 20 | $97.75.|...... |
|00001bc0| 20 20 45 71 75 61 74 69 | 6f 6e 3a 20 20 30 2e 31 | Equati|on: 0.1|
|00001bd0| 30 11 33 78 20 11 31 2b | 20 30 2e 30 39 32 35 28 |0.3x .1+| 0.0925(|
|00001be0| 31 30 30 30 20 2d 20 11 | 33 78 11 31 29 20 3d 20 |1000 - .|3x.1) = |
|00001bf0| 39 37 2e 37 35 13 0d 0a | 00 0d 0b 00 20 20 20 20 |97.75...|.... |
|00001c00| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 30 2e 31 | | 0.1|
|00001c10| 30 11 33 78 20 11 31 2b | 20 39 32 2e 35 20 2d 20 |0.3x .1+| 92.5 - |
|00001c20| 30 2e 30 39 32 35 11 33 | 78 20 11 31 3d 20 39 37 |0.0925.3|x .1= 97|
|00001c30| 2e 37 35 13 0d 0a 00 0d | 0b 00 20 20 20 20 20 20 |.75.....|.. |
|00001c40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001c50| 20 20 20 20 20 20 20 20 | 20 20 30 2e 30 30 37 35 | | 0.0075|
|00001c60| 11 33 78 20 11 31 3d 20 | 35 2e 32 35 13 0d 0a 00 |.3x .1= |5.25....|
|00001c70| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |... | |
|00001c80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001c90| 20 20 20 20 20 20 20 20 | 20 11 33 78 20 11 31 3d | | .3x .1=|
|00001ca0| 20 37 30 30 13 0d 0a 00 | 0d 0b 00 20 20 20 20 20 | 700....|... |
|00001cb0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001cc0| 20 20 20 20 20 20 20 20 | 20 20 31 30 30 30 20 2d | | 1000 -|
|00001cd0| 20 11 33 78 20 11 31 3d | 20 33 30 30 13 0d 0a 00 | .3x .1=| 300....|
|00001ce0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |... | |
|00001cf0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d00| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d20| 20 11 32 31 0d 0b 00 11 | 31 54 68 65 72 65 66 6f | .21....|1Therefo|
|00001d30| 72 65 2c 20 79 6f 75 20 | 69 6e 76 65 73 74 65 64 |re, you |invested|
|00001d40| 20 24 37 30 30 20 69 6e | 20 74 68 65 20 31 30 25 | $700 in| the 10%|
|00001d50| 20 66 75 6e 64 20 61 6e | 64 20 24 33 30 30 20 69 | fund an|d $300 i|
|00001d60| 6e 20 74 68 65 20 39 11 | 32 2d 11 31 25 20 66 75 |n the 9.|2-.1% fu|
|00001d70| 6e 64 2e 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |nd.... | |
|00001d80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001da0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001db0| 20 20 20 20 11 32 34 20 | 20 20 20 20 20 20 20 20 | .24 | |
|00001dc0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001dd0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001de0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001df0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001e00| 20 20 20 20 20 20 20 20 | 20 11 31 2e 0d 0a 00 53 | | .1....S|
|00001e10| 65 63 74 69 6f 6e 20 31 | 2e 33 20 20 4d 6f 64 65 |ection 1|.3 Mode|
|00001e20| 6c 69 6e 67 20 77 69 74 | 68 20 4c 69 6e 65 61 72 |ling wit|h Linear|
|00001e30| 20 45 71 75 61 74 69 6f | 6e 73 0d 0b 00 49 6e 20 | Equatio|ns...In |
|00001e40| 31 39 34 30 20 79 6f 75 | 20 63 6f 75 6c 64 20 70 |1940 you| could p|
|00001e50| 75 72 63 68 61 73 65 20 | 61 20 63 6f 70 79 20 6f |urchase |a copy o|
|00001e60| 66 20 74 68 65 20 44 65 | 73 20 4d 6f 69 6e 65 73 |f the De|s Moines|
|00001e70| 20 52 65 67 69 73 74 65 | 72 20 66 6f 72 20 33 20 | Registe|r for 3 |
|00001e80| 63 65 6e 74 73 2e 20 20 | 42 79 0d 0a 00 31 39 39 |cents. |By...199|
|00001e90| 30 20 74 68 65 20 70 72 | 69 63 65 20 72 6f 73 65 |0 the pr|ice rose|
|00001ea0| 20 74 6f 20 33 35 20 63 | 65 6e 74 73 2e 20 20 46 | to 35 c|ents. F|
|00001eb0| 69 6e 64 20 74 68 65 20 | 70 65 72 63 65 6e 74 61 |ind the |percenta|
|00001ec0| 67 65 20 69 6e 63 72 65 | 61 73 65 20 69 6e 20 74 |ge incre|ase in t|
|00001ed0| 68 65 20 70 72 69 63 65 | 2e 0d 0a 00 0d 0b 00 13 |he price|........|
|00001ee0| 12 31 53 4f 4c 55 54 49 | 4f 4e 12 30 0d 0a 00 20 |.1SOLUTI|ON.0... |
|00001ef0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 34 5b | | .4[|
|00001f00| 32 32 32 32 32 32 32 32 | 32 32 5d 20 20 20 5b 32 |22222222|22] [2|
|00001f10| 32 32 32 32 32 32 32 32 | 32 5d 20 20 20 5b 32 32 |22222222|2] [22|
|00001f20| 32 32 32 32 32 32 32 32 | 5d 20 5b 32 32 32 32 32 |22222222|] [22222|
|00001f30| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 5d 0d |22222222|222222].|
|00001f40| 0b 00 11 31 56 65 72 62 | 61 6c 20 6d 6f 64 65 6c |...1Verb|al model|
|00001f50| 3a 20 11 34 21 11 32 31 | 39 39 30 20 70 72 69 63 |: .4!.21|990 pric|
|00001f60| 65 11 34 21 20 11 31 3d | 20 11 34 21 11 32 31 39 |e.4! .1=| .4!.219|
|00001f70| 34 30 20 70 72 69 63 65 | 11 34 21 20 11 31 2b 20 |40 price|.4! .1+ |
|00001f80| 11 34 21 11 32 31 39 34 | 30 20 70 72 69 63 65 11 |.4!.2194|0 price.|
|00001f90| 34 21 2a 21 11 32 50 65 | 72 63 65 6e 74 61 67 65 |4!*!.2Pe|rcentage|
|00001fa0| 20 69 6e 63 72 65 61 73 | 65 11 34 21 0d 0b 00 20 | increas|e.4!... |
|00001fb0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 6c 32 32 | | l22|
|00001fc0| 32 32 32 32 32 32 32 32 | 6a 20 20 20 6c 32 32 32 |22222222|j l222|
|00001fd0| 32 32 32 32 32 32 32 6a | 20 20 20 6c 32 32 32 32 |2222222j| l2222|
|00001fe0| 32 32 32 32 32 32 6a 20 | 6c 32 32 32 32 32 32 32 |222222j |l2222222|
|00001ff0| 32 32 32 32 32 32 32 32 | 32 32 32 32 6a 11 31 13 |22222222|2222j.1.|
|00002000| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 20 4c 61 62 65 |...... | Labe|
|00002010| 6c 73 3a 20 20 31 39 39 | 30 20 70 72 69 63 65 20 |ls: 199|0 price |
|00002020| 3d 20 24 30 2e 33 35 13 | 0d 0a 00 20 20 20 20 20 |= $0.35.|... |
|00002030| 20 20 20 20 20 20 20 20 | 20 20 31 39 34 30 20 70 | | 1940 p|
|00002040| 72 69 63 65 20 3d 20 24 | 30 2e 30 33 13 0d 0a 00 |rice = $|0.03....|
|00002050| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 50 | | P|
|00002060| 65 72 63 65 6e 74 61 67 | 65 20 69 6e 63 72 65 61 |ercentag|e increa|
|00002070| 73 65 20 3d 20 11 33 70 | 20 20 11 31 28 69 6e 20 |se = .3p| .1(in |
|00002080| 64 65 63 69 6d 61 6c 20 | 66 6f 72 6d 29 13 0d 0a |decimal |form)...|
|00002090| 00 0d 0b 00 20 20 20 20 | 45 71 75 61 74 69 6f 6e |.... |Equation|
|000020a0| 3a 20 20 30 2e 33 35 20 | 3d 20 30 2e 30 33 20 2b |: 0.35 |= 0.03 +|
|000020b0| 20 30 2e 30 33 11 33 78 | 11 31 13 0d 0a 00 20 20 | 0.03.3x|.1.... |
|000020c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 30 2e 33 | | 0.3|
|000020d0| 32 20 3d 20 30 2e 30 33 | 11 33 78 11 31 13 0d 0a |2 = 0.03|.3x.1...|
|000020e0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 31 |. | 1|
|000020f0| 30 2e 36 37 20 11 34 7e | 20 11 33 78 11 31 13 0d |0.67 .4~| .3x.1..|
|00002100| 0a 00 0d 0b 00 43 68 61 | 6e 67 69 6e 67 20 6f 75 |.....Cha|nging ou|
|00002110| 72 20 73 6f 6c 75 74 69 | 6f 6e 20 66 72 6f 6d 20 |r soluti|on from |
|00002120| 64 65 63 69 6d 61 6c 20 | 74 6f 20 70 65 72 63 65 |decimal |to perce|
|00002130| 6e 74 20 66 6f 72 6d 2c | 20 77 65 20 63 6f 6e 63 |nt form,| we conc|
|00002140| 6c 75 64 65 20 74 68 61 | 74 20 74 68 65 20 0d 0a |lude tha|t the ..|
|00002150| 00 70 65 72 63 65 6e 74 | 61 67 65 20 69 6e 63 72 |.percent|age incr|
|00002160| 65 61 73 65 20 69 73 20 | 31 30 36 37 25 2e 0d 0a |ease is |1067%...|
|00002170| 00 53 65 63 74 69 6f 6e | 20 31 2e 33 20 20 4d 6f |.Section| 1.3 Mo|
|00002180| 64 65 6c 69 6e 67 20 77 | 69 74 68 20 4c 69 6e 65 |deling w|ith Line|
|00002190| 61 72 20 45 71 75 61 74 | 69 6f 6e 73 0d 0b 00 41 |ar Equat|ions...A|
|000021a0| 20 63 6f 6d 6d 65 72 63 | 69 61 6c 20 66 69 73 68 | commerc|ial fish|
|000021b0| 65 72 6d 61 6e 20 6d 75 | 73 74 20 68 61 76 65 20 |erman mu|st have |
|000021c0| 61 6e 20 61 76 65 72 61 | 67 65 20 63 61 74 63 68 |an avera|ge catch|
|000021d0| 20 6f 66 20 61 74 20 6c | 65 61 73 74 20 33 30 30 | of at l|east 300|
|000021e0| 20 66 69 73 68 20 70 65 | 72 0d 0a 00 64 61 79 20 | fish pe|r...day |
|000021f0| 74 6f 20 6d 65 65 74 20 | 68 69 73 20 77 65 65 6b |to meet |his week|
|00002200| 6c 79 20 71 75 6f 74 61 | 2e 20 20 48 65 20 63 61 |ly quota|. He ca|
|00002210| 75 67 68 74 20 32 38 30 | 20 66 69 73 68 20 4d 6f |ught 280| fish Mo|
|00002220| 6e 64 61 79 2c 20 33 30 | 32 20 54 75 65 73 64 61 |nday, 30|2 Tuesda|
|00002230| 79 2c 20 32 38 38 0d 0a | 00 57 65 64 6e 65 73 64 |y, 288..|.Wednesd|
|00002240| 61 79 2c 20 61 6e 64 20 | 33 34 30 20 54 68 75 72 |ay, and |340 Thur|
|00002250| 73 64 61 79 2e 20 20 48 | 6f 77 20 6d 61 6e 79 20 |sday. H|ow many |
|00002260| 66 69 73 68 20 6d 75 73 | 74 20 68 65 20 63 61 74 |fish mus|t he cat|
|00002270| 63 68 20 6f 6e 20 46 72 | 69 64 61 79 20 74 6f 20 |ch on Fr|iday to |
|00002280| 6d 65 65 74 0d 0a 00 68 | 69 73 20 71 75 6f 74 61 |meet...h|is quota|
|00002290| 20 66 6f 72 20 74 68 65 | 20 66 69 76 65 20 64 61 | for the| five da|
|000022a0| 79 20 74 72 69 70 3f 0d | 0a 00 0d 0b 00 13 12 31 |y trip?.|.......1|
|000022b0| 53 4f 4c 55 54 49 4f 4e | 12 30 0d 0a 00 0d 0b 00 |SOLUTION|.0......|
|000022c0| 56 65 72 62 61 6c 20 6d | 6f 64 65 6c 3a 0d 0a 00 |Verbal m|odel:...|
|000022d0| 20 20 20 20 11 34 5b 32 | 32 32 32 32 32 32 32 32 | .4[2|22222222|
|000022e0| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|000022f0| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002300| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002310| 32 5d 0d 0b 00 20 20 20 | 20 21 11 32 4d 6f 6e 64 |2]... | !.2Mond|
|00002320| 61 79 27 73 20 20 20 54 | 75 65 73 64 61 79 27 73 |ay's T|uesday's|
|00002330| 20 20 20 57 65 64 6e 65 | 73 64 61 79 27 73 20 20 | Wedne|sday's |
|00002340| 20 54 68 75 72 73 64 61 | 79 27 73 20 20 20 46 72 | Thursda|y's Fr|
|00002350| 69 64 61 79 27 73 11 34 | 21 0d 0b 00 20 20 20 20 |iday's.4|!... |
|00002360| 21 20 20 20 20 20 20 20 | 20 20 11 31 2b 20 20 20 |! | .1+ |
|00002370| 20 20 20 20 20 20 20 20 | 2b 20 20 20 20 20 20 20 | |+ |
|00002380| 20 20 20 20 20 20 2b 20 | 20 20 20 20 20 20 20 20 | + | |
|00002390| 20 20 20 2b 20 20 20 20 | 20 20 20 20 20 11 34 21 | + | .4!|
|000023a0| 0d 0b 00 20 20 20 20 21 | 11 32 63 61 74 63 68 20 |... !|.2catch |
|000023b0| 20 20 20 20 20 63 61 74 | 63 68 20 20 20 20 20 20 | cat|ch |
|000023c0| 20 63 61 74 63 68 20 20 | 20 20 20 20 20 20 20 63 | catch | c|
|000023d0| 61 74 63 68 20 20 20 20 | 20 20 20 20 63 61 74 63 |atch | catc|
|000023e0| 68 20 20 20 11 34 21 20 | 20 20 5b 32 32 32 32 32 |h .4! | [22222|
|000023f0| 32 32 5d 0d 0b 00 20 20 | 20 20 6c 32 32 32 32 32 |22]... | l22222|
|00002400| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002410| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002420| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002430| 32 32 32 32 32 6a 20 20 | 20 21 11 32 41 76 65 72 |22222j | !.2Aver|
|00002440| 61 67 65 11 34 21 0d 0b | 00 20 20 20 20 32 32 32 |age.4!..|. 222|
|00002450| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002460| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002470| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002480| 32 32 32 32 32 32 32 32 | 32 20 11 31 3d 20 11 34 |22222222|2 .1= .4|
|00002490| 21 20 20 20 20 20 20 20 | 21 0d 0b 00 20 20 20 20 |! |!... |
|000024a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000024b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|000024c0| 31 35 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |15 | |
|000024d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000024e0| 20 11 34 21 11 32 63 61 | 74 63 68 20 20 11 34 21 | .4!.2ca|tch .4!|
|000024f0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |... | |
|00002500| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002510| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002520| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002530| 20 20 20 20 20 20 6c 32 | 32 32 32 32 32 32 6a 11 | l2|222222j.|
|00002540| 31 13 0d 0a 00 20 20 20 | 20 20 20 4c 61 62 65 6c |1.... | Label|
|00002550| 73 3a 20 20 4d 6f 6e 64 | 61 79 27 73 20 63 61 74 |s: Mond|ay's cat|
|00002560| 63 68 20 3d 20 32 38 30 | 13 0d 0a 00 20 20 20 20 |ch = 280|.... |
|00002570| 20 20 20 20 20 20 20 20 | 20 20 20 54 75 65 73 64 | | Tuesd|
|00002580| 61 79 27 73 20 63 61 74 | 63 68 20 3d 20 33 30 32 |ay's cat|ch = 302|
|00002590| 13 0d 0a 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |.... | |
|000025a0| 20 20 20 57 65 64 6e 65 | 73 64 61 79 27 73 20 63 | Wedne|sday's c|
|000025b0| 61 74 63 68 20 3d 20 32 | 38 38 13 0d 0a 00 20 20 |atch = 2|88.... |
|000025c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 54 68 75 | | Thu|
|000025d0| 72 73 64 61 79 27 73 20 | 63 61 74 63 68 20 3d 20 |rsday's |catch = |
|000025e0| 33 34 30 13 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |340.... | |
|000025f0| 20 20 20 20 20 20 46 72 | 69 64 61 79 27 73 20 63 | Fr|iday's c|
|00002600| 61 74 63 68 20 3d 20 11 | 33 78 11 31 13 0d 0a 00 |atch = .|3x.1....|
|00002610| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 41 | | A|
|00002620| 76 65 72 61 67 65 20 63 | 61 74 63 68 20 3d 20 33 |verage c|atch = 3|
|00002630| 30 30 00 0c 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |00..... | |
|00002640| 20 20 20 20 20 20 32 38 | 30 20 2b 20 33 30 32 20 | 28|0 + 302 |
|00002650| 2b 20 32 38 38 20 2b 20 | 33 34 30 20 2b 20 11 33 |+ 288 + |340 + .3|
|00002660| 78 0d 0b 00 20 20 20 20 | 11 31 45 71 75 61 74 69 |x... |.1Equati|
|00002670| 6f 6e 3a 20 20 11 34 32 | 32 32 32 32 32 32 32 32 |on: .42|22222222|
|00002680| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002690| 20 11 31 3d 20 33 30 30 | 0d 0b 00 20 20 20 20 20 | .1= 300|... |
|000026a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000026b0| 20 20 20 20 20 20 35 20 | 20 20 20 20 20 20 20 20 | 5 | |
|000026c0| 20 20 20 20 20 20 20 20 | 20 13 0d 0a 00 0d 0b 00 | | .......|
|000026d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000026e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000026f0| 31 32 31 30 20 2b 20 11 | 33 78 0d 0b 00 20 20 20 |1210 + .|3x... |
|00002700| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002710| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 34 32 | | .42|
|00002720| 32 32 32 32 32 32 32 20 | 11 31 3d 20 33 30 30 0d |2222222 |.1= 300.|
|00002730| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.. | |
|00002740| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002750| 20 20 20 20 20 20 35 20 | 20 20 20 20 20 20 20 20 | 5 | |
|00002760| 13 0d 0a 00 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |....... | |
|00002770| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002780| 20 20 20 20 20 20 20 31 | 32 31 30 20 2b 20 11 33 | 1|210 + .3|
|00002790| 78 20 11 31 3d 20 31 35 | 30 30 20 20 20 20 20 20 |x .1= 15|00 |
|000027a0| 20 20 20 20 12 31 11 32 | 43 72 6f 73 73 20 6d 75 | .1.2|Cross mu|
|000027b0| 6c 74 69 70 6c 79 11 31 | 12 30 11 32 13 0d 0a 00 |ltiply.1|.0.2....|
|000027c0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |... | |
|000027d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000027e0| 20 20 20 20 20 20 20 20 | 20 20 11 33 78 20 11 31 | | .3x .1|
|000027f0| 3d 20 32 39 30 13 0d 0a | 00 0d 0b 00 46 72 6f 6d |= 290...|....From|
|00002800| 20 74 68 69 73 20 72 65 | 73 75 6c 74 2c 20 77 65 | this re|sult, we|
|00002810| 20 63 6f 6e 63 6c 75 64 | 65 20 74 68 61 74 20 68 | conclud|e that h|
|00002820| 65 20 6d 75 73 74 20 63 | 61 74 63 68 20 61 74 20 |e must c|atch at |
|00002830| 6c 65 61 73 74 20 32 39 | 30 20 66 69 73 68 20 6f |least 29|0 fish o|
|00002840| 6e 20 46 72 69 64 61 79 | 0d 0a 00 74 6f 20 6d 65 |n Friday|...to me|
|00002850| 65 74 20 68 69 73 20 71 | 75 6f 74 61 2e 0d 0a 00 |et his q|uota....|
|00002860| 53 65 63 74 69 6f 6e 20 | 31 2e 33 20 20 4d 6f 64 |Section |1.3 Mod|
|00002870| 65 6c 69 6e 67 20 77 69 | 74 68 20 4c 69 6e 65 61 |eling wi|th Linea|
|00002880| 72 20 45 71 75 61 74 69 | 6f 6e 73 0d 0b 00 53 6f |r Equati|ons...So|
|00002890| 6c 76 65 20 66 6f 72 20 | 74 68 65 20 69 6e 64 69 |lve for |the indi|
|000028a0| 63 61 74 65 64 20 76 61 | 72 69 61 62 6c 65 2e 0d |cated va|riable..|
|000028b0| 0a 00 0d 0b 00 28 61 29 | 20 20 53 6f 6c 76 65 20 |.....(a)| Solve |
|000028c0| 66 6f 72 20 11 33 52 20 | 11 31 69 6e 20 74 68 65 |for .3R |.1in the|
|000028d0| 20 65 71 75 61 74 69 6f | 6e 20 11 33 41 20 11 31 | equatio|n .3A .1|
|000028e0| 3d 20 11 34 70 11 33 73 | 11 31 28 11 33 52 20 11 |= .4p.3s|.1(.3R .|
|000028f0| 31 2b 20 11 33 72 11 31 | 29 2e 0d 0a 00 0d 0b 00 |1+ .3r.1|).......|
|00002900| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002910| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002920| 20 20 20 20 20 20 20 20 | 20 20 11 33 48 0d 0b 00 | | .3H...|
|00002930| 11 31 28 62 29 20 20 53 | 6f 6c 76 65 20 66 6f 72 |.1(b) S|olve for|
|00002940| 20 11 33 6d 20 11 31 69 | 6e 20 74 68 65 20 65 71 | .3m .1i|n the eq|
|00002950| 75 61 74 69 6f 6e 20 11 | 33 73 20 11 31 3d 20 11 |uation .|3s .1= .|
|00002960| 34 32 32 32 32 32 32 32 | 32 32 32 20 11 31 2e 0d |42222222|222 .1..|
|00002970| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.. | |
|00002980| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002990| 20 20 20 20 20 20 20 11 | 33 6d 11 31 28 11 33 74 | .|3m.1(.3t|
|000029a0| 20 20 11 31 2d 20 11 33 | 74 20 11 31 29 0d 0b 00 | .1- .3|t .1)...|
|000029b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000029c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000029d0| 20 20 20 20 20 20 20 20 | 11 32 32 20 20 20 20 31 | |.22 1|
|000029e0| 0d 0a 00 11 31 13 12 31 | 53 4f 4c 55 54 49 4f 4e |....1..1|SOLUTION|
|000029f0| 12 30 0d 0a 00 0d 0b 00 | 61 29 20 20 20 20 20 20 |.0......|a) |
|00002a00| 20 11 33 41 20 11 31 3d | 20 11 34 70 11 33 73 11 | .3A .1=| .4p.3s.|
|00002a10| 31 28 11 33 52 20 11 31 | 2b 20 11 33 72 11 31 29 |1(.3R .1|+ .3r.1)|
|00002a20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 12 | | .|
|00002a30| 31 11 32 47 69 76 65 6e | 11 31 12 30 11 32 13 0d |1.2Given|.1.0.2..|
|00002a40| 0a 00 0d 0a 00 20 20 20 | 20 20 20 20 20 20 11 33 |..... | .3|
|00002a50| 41 20 11 31 3d 20 11 34 | 70 11 33 73 52 20 11 31 |A .1= .4|p.3sR .1|
|00002a60| 2b 20 11 34 70 11 33 73 | 72 20 20 20 20 20 20 20 |+ .4p.3s|r |
|00002a70| 20 20 20 20 20 20 20 20 | 11 31 12 31 11 32 52 65 | |.1.1.2Re|
|00002a80| 6d 6f 76 65 20 70 61 72 | 65 6e 74 68 65 73 65 73 |move par|entheses|
|00002a90| 11 31 12 30 11 32 13 0d | 0a 00 0d 0a 00 20 20 20 |.1.0.2..|..... |
|00002aa0| 11 33 41 20 11 31 2d 20 | 11 34 70 11 33 73 72 20 |.3A .1- |.4p.3sr |
|00002ab0| 11 31 3d 20 11 34 70 11 | 33 73 52 20 20 20 20 20 |.1= .4p.|3sR |
|00002ac0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002ad0| 11 31 12 31 11 32 53 75 | 62 74 72 61 63 74 20 11 |.1.1.2Su|btract .|
|00002ae0| 34 70 11 32 73 72 20 66 | 72 6f 6d 20 62 6f 74 68 |4p.2sr f|rom both|
|00002af0| 20 73 69 64 65 73 11 31 | 12 30 11 32 13 0d 0a 00 | sides.1|.0.2....|
|00002b00| 0d 0b 00 20 20 20 11 33 | 41 20 11 31 2d 20 11 34 |... .3|A .1- .4|
|00002b10| 70 11 33 73 72 0d 0b 00 | 20 20 20 11 34 32 32 32 |p.3sr...| .4222|
|00002b20| 32 32 32 32 20 11 31 3d | 20 11 33 52 20 20 20 20 |2222 .1=| .3R |
|00002b30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002b40| 20 20 20 11 31 12 31 11 | 32 44 69 76 69 64 65 20 | .1.1.|2Divide |
|00002b50| 62 6f 74 68 20 73 69 64 | 65 73 20 62 79 20 11 34 |both sid|es by .4|
|00002b60| 70 11 32 73 11 31 12 30 | 0d 0b 00 20 20 20 20 20 |p.2s.1.0|... |
|00002b70| 20 11 34 70 11 33 73 20 | 20 20 20 20 20 20 20 20 | .4p.3s | |
|00002b80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002b90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002ba0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002bb0| 20 11 31 13 0d 0a 00 0d | 0b 00 20 20 20 20 20 20 | .1.....|.. |
|00002bc0| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 33 48 0d | | .3H.|
|00002bd0| 0b 00 11 31 62 29 20 20 | 20 20 20 20 20 11 33 73 |...1b) | .3s|
|00002be0| 20 11 31 3d 20 11 34 32 | 32 32 32 32 32 32 32 32 | .1= .42|22222222|
|00002bf0| 32 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 |2 | .|
|00002c00| 31 12 31 11 32 47 69 76 | 65 6e 11 31 12 30 0d 0b |1.1.2Giv|en.1.0..|
|00002c10| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 33 |. | .3|
|00002c20| 6d 11 31 28 11 33 74 20 | 20 11 31 2d 20 11 33 74 |m.1(.3t | .1- .3t|
|00002c30| 20 11 31 29 0d 0b 00 20 | 20 20 20 20 20 20 20 20 | .1)... | |
|00002c40| 20 20 20 20 20 20 20 11 | 32 32 20 20 20 20 31 20 | .|22 1 |
|00002c50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002c60| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002c70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002c80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002c90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002ca0| 11 31 2e 0d 0a 00 0d 0b | 00 20 20 11 33 73 6d 11 |.1......|. .3sm.|
|00002cb0| 31 28 11 33 74 20 20 11 | 31 2d 20 11 33 74 20 11 |1(.3t .|1- .3t .|
|00002cc0| 31 29 20 3d 20 11 33 48 | 20 20 20 20 20 20 20 20 |1) = .3H| |
|00002cd0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002ce0| 20 11 31 12 31 11 32 43 | 72 6f 73 73 20 6d 75 6c | .1.1.2C|ross mul|
|00002cf0| 74 69 70 6c 79 11 31 12 | 30 0d 0b 00 20 20 20 20 |tiply.1.|0... |
|00002d00| 20 20 11 32 32 20 20 20 | 20 31 20 20 20 20 20 20 | .22 | 1 |
|00002d10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002d20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002d30| 20 20 20 20 20 20 13 0d | 0a 00 0d 0b 00 20 20 20 | ..|..... |
|00002d40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002d50| 20 20 11 33 48 0d 0b 00 | 20 20 20 20 20 20 20 20 | .3H...| |
|00002d60| 20 20 20 20 6d 20 11 31 | 3d 20 11 34 32 32 32 32 | m .1|= .42222|
|00002d70| 32 32 32 32 32 32 20 20 | 20 20 20 20 20 20 20 20 |222222 | |
|00002d80| 20 20 20 20 20 20 11 31 | 12 31 11 32 44 69 76 69 | .1|.1.2Divi|
|00002d90| 64 65 20 62 6f 74 68 20 | 73 69 64 65 73 20 62 79 |de both |sides by|
|00002da0| 20 73 28 74 20 20 2d 20 | 74 20 29 11 31 12 30 0d | s(t - |t ).1.0.|
|00002db0| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.. | |
|00002dc0| 20 20 11 33 73 11 31 28 | 11 33 74 20 20 11 31 2d | .3s.1(|.3t .1-|
|00002dd0| 20 11 33 74 20 11 31 29 | 20 20 20 20 20 20 20 20 | .3t .1)| |
|00002de0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002df0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002e00| 12 31 11 32 32 20 20 20 | 20 31 11 31 12 30 0d 0b |.1.22 | 1.1.0..|
|00002e10| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |. | |
|00002e20| 20 20 20 20 11 32 32 20 | 20 20 20 31 20 20 20 20 | .22 | 1 |
|00002e30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002e40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002e50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002e60| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002e70| 20 20 20 20 20 20 20 20 | 20 20 20 11 31 2e 0d 0a | | .1...|
|00002e80| 00 3b 00 00 00 af 02 00 | 00 4d 2b 00 00 10 00 00 |.;......|.M+.....|
|00002e90| 00 00 00 00 00 65 31 2d | 33 00 15 03 00 00 ff 01 |.....e1-|3.......|
|00002ea0| 00 00 4d 2b 00 00 ea 02 | 00 00 00 00 00 00 65 31 |..M+....|......e1|
|00002eb0| 2d 33 2d 31 00 3f 05 00 | 00 cb 02 00 00 4d 2b 00 |-3-1.?..|.....M+.|
|00002ec0| 00 14 05 00 00 00 00 00 | 00 65 31 2d 33 2d 32 00 |........|.e1-3-2.|
|00002ed0| 35 08 00 00 de 02 00 00 | 4d 2b 00 00 0a 08 00 00 |5.......|M+......|
|00002ee0| 00 00 00 00 65 31 2d 33 | 2d 33 00 3e 0b 00 00 9a |....e1-3|-3.>....|
|00002ef0| 02 00 00 4d 2b 00 00 13 | 0b 00 00 00 00 00 00 65 |...M+...|.......e|
|00002f00| 31 2d 33 2d 34 00 03 0e | 00 00 26 03 00 00 4d 2b |1-3-4...|..&...M+|
|00002f10| 00 00 d8 0d 00 00 00 00 | 00 00 65 31 2d 33 2d 35 |........|..e1-3-5|
|00002f20| 00 54 11 00 00 e9 03 00 | 00 4d 2b 00 00 29 11 00 |.T......|.M+..)..|
|00002f30| 00 00 00 00 00 65 31 2d | 33 2d 36 00 68 15 00 00 |.....e1-|3-6.h...|
|00002f40| a7 08 00 00 4d 2b 00 00 | 3d 15 00 00 00 00 00 00 |....M+..|=.......|
|00002f50| 65 31 2d 33 2d 37 00 3a | 1e 00 00 37 03 00 00 4d |e1-3-7.:|...7...M|
|00002f60| 2b 00 00 0f 1e 00 00 00 | 00 00 00 69 31 2d 33 2d |+.......|...i1-3-|
|00002f70| 31 00 9c 21 00 00 c4 06 | 00 00 4d 2b 00 00 71 21 |1..!....|..M+..q!|
|00002f80| 00 00 00 00 00 00 69 31 | 2d 33 2d 32 00 8b 28 00 |......i1|-3-2..(.|
|00002f90| 00 f6 05 00 00 4d 2b 00 | 00 60 28 00 00 00 00 00 |.....M+.|.`(.....|
|00002fa0| 00 69 31 2d 33 2d 33 00 | |.i1-3-3.| |
+--------+-------------------------+-------------------------+--------+--------+
