College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.1 - Modeling the Real World with Algebra - P.1 Exercises - Page 6: 20

Answer

(a) 118 (b) $C=30d+0.1m$ (c) 500

Work Step by Step

(a) The cost of renting the car is: $C=30d+0.1m$, where $d$ is the number of days rented and $m$ is the number of miles driven. Since $d=3$ and $m=280$, we have:$C=30*3+0.1*280=90+28=118$ Thus the cost is \$118. (b) As stated above: $C=30d+0.1m$ (c) We have: $d=3$ and $C=140$: $140=30*3+0.1m$ Solving for m: $m=(140-30*3)/0.1=(140-90)/0.1=50/0.1=500$ So the car was driven for 500 miles.
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