Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 102: 29


$7.5$ gallons

Work Step by Step

The given table has the last column with values $\left[\begin{array}{l} 0.05x\\ 0.10(5)=0.50\\ 0.07(x+5) \end{array}\right]$ The equation to solve is $ 0.05x+0.5=0.07(x+5)\qquad$ ... multiply with 100 $5x+50=7(x+5)$ $ 5x+50=7x+35\qquad$ ... add $(-5x-35)$ $15=2x$ $x=\displaystyle \frac{15}{2}=7.5$ gallons
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