Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.4 Linear Inequalities in One Variable - Exercise Set 6.4 - Page 386: 103

Answer

The distance in a week is more than 720 miles.

Work Step by Step

Consider the given condition. It forms the equation as, $80+\frac{25x}{100}>260$ Solve the above the equation. $\begin{align} & 80+\frac{25x}{100}>260 \\ & 0.25x>260-80 \\ & x>\frac{180}{0.25} \\ & x>720 \end{align}$ This shows that the Basic Rental will be a better deal than the Continental’s rental cost when car is driven for 720 miles. Thus, the distance in miles that must be driven in a week is more than 720 miles.
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