Precalculus (6th Edition) Blitzer

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

Chapter 3 - Cumulative Review Exercises - Page 516: 20


The required value is $\$12\text{ per hour}$.

Work Step by Step

Let us assume $x$ is the normal salary per hour. After $40$ hours, the salary per hour is: $\begin{align} & =x+\frac{x}{2} \\ & =\frac{3x}{2} \\ \end{align}$ We have earned $\$660$ for $50$ hours of work. So, salary until 40 hours is $=40x$ After $40$ hours, for the remaining $10$ hours the salary is $\begin{align} & =10\times \frac{3x}{2} \\ & =15x \end{align}$ Thus, the total salary is: $\begin{align} & 40x+15x=660 \\ & 55x=660 \\ & x=12 \end{align}$
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