Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 86: 75

Answer

less than $80$ miles

Work Step by Step

Let $x$ be the number of daily miles to drive the compact car. The conditions of the problem translate to \begin{array}{l}\require{cancel} 24+0.15x\lt36 .\end{array} Using the properties of inequality, then \begin{array}{l}\require{cancel} 0.15x\lt36-24 \\\\ 0.15x\lt12 \\\\ x\lt\dfrac{12}{0.15} \\\\ x\lt80 .\end{array} Hence, if the daily miles of the car is $\text{ less than $80$ miles ,}$ Plan A is more economical than Plan B.
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