Answer Key - Pacific Educational Press

1 MathWorks11 WorkbookPacifi c Educational PressISBN 978-0-9867141-3-9 This workbook is designed to accompany the MathWorks 11 student resource by providing extra practice problems based upon real-world scenarios. RELATED MATHWORKS 11 RESOURCESS tudent Resource .. 978-1-89576-692-9 Student Resource CD .. 978-0-98671-410-8 Teacher Resource .. 978-0-98671-415-3 Teacher Resource CD .. 978-0-98671-416-0 Pacific Educational Press University of British s11 WorkbookAnswer KeyNew EditionMathWorks 11 WorkbookPacific Educational PressVancouver, CanadaANSWER KEYC opyright Pacific Educational Press 2011 Revised June 2013 Published by Pacific Educational Press Faculty of Education University of British Columbia 411 2389 Health Sciences Mall Vancouver, BC V6T 1Z3 Telephone: 604-822-5385 Fax: 604-822-6603 Email: Website: rights reserved.

2 Pacific Educational Press is a member of Access Copyright. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise without the prior written permission of the publisher or a licence from Access Copyright. For a copyright licence, visit or call toll-free Borgen, PhD, Vancouver School Board and University of British ColumbiaDesign, Illustration, and LayoutSharlene EugenioEva NeesemannFive SeventeenEditingKatrina PetrikNancy WilsonJordie YowCover PhotographMason Morfix/Getty ImagesCHAPTER 1 SLOPE AND RATE OF RISE OVER RUNBUILD YOUR SKILLS, p.

3 111. 1:32. 23173. a) 6:1 b) 8:3c) 8:134. L5. 18 cm6. 9 cups7. a) 16b) 14c) 49d) 54e) 24358. 25 333 m9. 221 cm10. 1 m11. 71212. 2 28 cm13. 2 .55 mPRACTISE YOUR NEW SKILLS, p. 171. RiseRunSlope As a fraction m=riserun()As a decimal18 m63 m49 cm cm mm ft900 RiseRun Slope15 ft60 ft1412 cm32 m16 m95192 in42 in32763 m21 ft78 715 or approx. ft5. 50 cm6. m 7. 1431200 or approx. Key MathWorks 11 Workbook1 Answer Key8. 25or GRADE, ANGLE OF ELEVATION, AND DISTANCEBUILD YOUR SKILLS, p.

4 G , h cmb) S 4 , r mc) E , f in2. a) ; m = 1125or 4b) ; m = 2914or a) ft b) 4. a) m b) 5. a) m b) m6. 18%7. a) 148 or ) a) b) c) m9. m10. 4 :311. 1 .4 ftPRACTISE YOUR NEW SKILLS, p. 321. a) A ; B ; m = 2935 or approx. ) A ; B ; m = 32 or )A ; B ; m = 1926 or ) A ; B ; m = 811 or approx. a) m b) 3. a) For 35 , m ; for 45 , m = 1b) 70% and 100%4. a) m = 3500 or ) cmc) 5.

5 A) 2987 m b) a) 2:5 b) ) 40%7. The roof of the second house is RATE OF CHANGEBUILD YOUR SKILLS, p. 391. slope 1 = 35; slope 2 = 32; line 2 is slope 1 = 0; slope 2 is 11 Workbook2 Answer a) 6 km/hb) Timec) 6 h5. a) Let p be the amount owed and w be the number of = 600 - 40wb) owed ($)WeekswAmount Owed by Jenita, per WeekThe slope of the line is -40. The slope represents the amount of money Jenita pays per a) $ , $ , $ ) earnings = salesThe independent variable is the ) ($)Sales ($)sGeorge s Earnings based on Salesm= or 325d)$ 07.

6 A) 50 gal/min or 3000 gal/hb) 270 min or h8. a) 76 km/h b) 96 km/h9. a) 535 minute or 8 hours 55 minutesb) 72 pages PRACTISE YOUR NEW SKILLS, p. 501. a) 51 b) 38 or ) 3125 or 012345012345yxMathWorks 11 Workbook3 Answer Key3. a) HoursHenrik s earnings Javier s earnings1$ $ $ $ $ $ $ $ $ 0$ ) ($)Hours workedhEarnings per Hours WorkedHenrikJavierc) Henrikd) Henrik s rate of earning = $ h; Javier s rate of earning = $ $189 a) 20 km/h b) 115 km 6. a) Sheila is the faster ) 0123456789010203040dDistance walked (km)Time (h)tSheila and Brandy s Walking SpeedsSheilaBrandyc) Sheila: h; Brandy: a) Time elapsed (minutes)Volume of water remaining (L)0480 00030435 00060390 00090345 000120300 00015 0255 000b)03060901201501800100 000200000300 000400 000500 000vVolume of water remaining (L)Time (min)tRate of Water Flowc)m= 1500 The slope is the rate at which the water volume decreases, 1500 ) 320 minCHAPTER TEST, p.

7 167 cm3. m4. a) 10 ft b) ftc) 5. a) 13 or about ) 6. km or 900 m7. a) m b) mMathWorks 11 Workbook4 Answer Key9. a) ($)Hours of workhRebecca s Earnings per Hourb) m = 15 The slope represents Rebecca s earnings per ) $ 2 GRAPHICAL BROKEN LINE GRAPHSBUILD YOUR SKILLS, p. ) Wednesday: $ ; Friday: $ ) He spent about $ for lunch on Sunday. Reasons will vary. He may have gone out to a restaurant with a) The graph shows Katie s heart rate in beats per minute, each hour from 8:00 am to 9:00 ) At 8:00 am, 2:00 pm, 5:00 pm, and 9:00 pm, it was 68 beats per ) Katie s heart rate was highest at 1:00 pm.

8 She may have just been involved in some physical a) approx. $ ) The stock was worth most ($ ) in Week 4. He would have earned $ per share of the 1234567805101520253035 Canadian Review Magazine Sales Number of copies soldWeeknwSales of the magazine seem to be slowly 01234567891011120123456 Jessica s Weight by WeekWeight (kg)Weeks since birthwtJessica lost weight during the first week, and her weight stayed the same between the 8th and 9th weeks. O therwise, she gained weight each 11 Workbook5 Answer Key6. a) 12345678910111213140100200300400500600 Record of Driving DistancesDistance driven (km)Daydtb) The days when he drove 0 km are unusual.

9 These are probably his days ) The graph is a fairly good representation of the data. You can see his maximum and minimum daily driving distances, and you can get a general idea of the range in which his driving distances usually Th r se was driving her car from 8:00 am until 10:00 am. It was parked from 10:00 am to 12:00 pm, at which time she put gas in the tank. Th r se then drove for an hour (until 1:00 pm) and stopped again for an hour until 2:00 pm. Between 2:00 and 4:00 pm, she drove again, and she stopped for the last hour. 8. a) The cost seems to be decreasing ) approximately $ ) between $ and $ cNumber of cell phones soldMonthmNumber of Cell Phones Sold to Males and Females in the Last )The number of cell phones bought fluctuated greatly from month to month, but overall, there seems to be an increase in purchases over ) No, there is no real relationship between the number of cell phones purchased and gender.

10 In some months, females bought more, and in other months, males ) It is not very useful. A stacked bar graph or a bar graph would better indicate the numbers a) sStock price ($)MonthmStock PriceStock AStock 11 Workbook6 Answer Keyb) Stock A started off high and made a sudden drop in August and September. It increased again over the next few months and then dropped in B prices fluctuated slightly over the year but remained relatively even compared to Stock ) answers will a) The graph represents the amount of money Marcia spent per week on ) Her spending on groceries increased over the 6 ) The vertical axis starts at $ rather than $ ) s Weekly Grocery ExpendituresWeekAmount spent ($)sw12.