Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.5 - Rewriting Equations and Formulas - Exercises - Page 41: 31

Answer

$C=A(\frac{R}{5}+0.3)$

Work Step by Step

The given formula is $\Rightarrow R=5(\frac{C}{A}-0.3)$ Divide each side by $5$. $\Rightarrow \frac{R}{5}=\frac{5}{5}(\frac{C}{A}-0.3)$ Simplify. $\Rightarrow \frac{R}{5}=\frac{C}{A}-0.3$ Add $0.3$ to each side. $\Rightarrow \frac{R}{5}+0.3=\frac{C}{A}-0.3+0.3$ Simplify. $\Rightarrow \frac{R}{5}+0.3=\frac{C}{A}$ Multiply each side by $A$. $\Rightarrow A(\frac{R}{5}+0.3)=A\cdot \frac{C}{A}$ Simplify. $\Rightarrow A(\frac{R}{5}+0.3)=C$ Hence, the solution is $C=A(\frac{R}{5}+0.3)$.
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