Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.7 - Modeling with Equations - 1.7 Exercises - Page 75: 5

Answer

$\frac{1}{x}$

Work Step by Step

Note that: If it takes the painter 2 hours to paint the wall, then the painter is able to paint $\frac{1}{2}$ of the wall for each hour. If it takes the painter 4 hours to paint the wall, then the painter can paint $\frac{1}{4}$ of the wall for each hour. This means that the hourly rate can be found by dividing 1 by the number of hours it takes the painter to paint the wall. Thus, if the painter needs $x$ hours to paint the wall, then he can paint $\frac{1}{x}$ of the wall for each hour.
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