Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - 7.5 Formulas, Applications, and Variation - 7.5 Exercise Set: 31

Answer

$\color{blue}{a+b=\dfrac{f}{c^2}}$

Work Step by Step

Use the rule $\frac{a}{b}=\frac{c}{d}\longrightarrow ad=bc$ to obtain: $$c\cdot (a+b)c=f \\c^2(a+b)=f$$ Divide $c^2$ to both sides to obtain: $$\frac{c^2(a+b)}{c^2}=\frac{f}{c^2} \\\color{blue}{a+b=\frac{f}{c^2}}$$
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