Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 402: 138


Less than $200$ miles per day will make a basic rental a better deal than an Acme rental.

Work Step by Step

Let us suppose $x$ is the number of miles driven per day; the daily cost of the basic car is less than the daily cost of the Acme rental, that is, $30+0.05x$. Now, $20+0.10x<30+0.05x$ To solve the inequality, subtract $0.05x$ from both sides. Then, $\begin{align} & 20+0.10x-0.05x<30+0.05x-0.05x \\ & 20+0.05x<30 \end{align}$ Then, simplify, $\begin{align} & 20+0.05x-20<30-20 \\ & 0.05x<10 \end{align}$ $x\lt 200$
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