Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.4 - A Library of Parent Functions - 2.4 Exercises - Page 203: 43b


$W(h)=\begin{cases} 14h,0\lt h\leq 36\\ 21(h-36)+504,h\gt 40 \end{cases}$

Work Step by Step

We are given the function for a regular week of 40 hours: $W(h)=\begin{cases} 14h,0\lt h\leq 40\\ 21(h-40)+560,h\gt 40 \end{cases}$ When the number of hours diminishes to 36, the new function is: $W(h)=\begin{cases} 14h,0\lt h\leq 36\\ 21(h-36)+36(14),h\gt 40 \end{cases}$ $W(h)=\begin{cases} 14h,0\lt h\leq 36\\ 21(h-36)+504,h\gt 40 \end{cases}$
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