Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-2 Direct Variation - Practice and Problem-Solving Exercises - Page 72: 45



Work Step by Step

To find $x$ when $y=\frac{1}{2}$, set up a proportion using two forms of $\frac{y}{x}$ $\dfrac{\frac{5}{3}}{\frac{3}{4}}=\dfrac{\frac{1}{2}}{x}$ Now write the cross-products $(\frac{5}{3})x=(\frac{3}{4})(\frac{1}{2})$ Simplify $(\frac{5}{3})x=\frac{3}{8}$ Divide each side by $\frac{5}{3}$ $\frac{(\frac{5}{3})x}{\frac{5}{3}}=\dfrac{\frac{3}{8}}{\frac{5}{3}} \\x=\frac{3}{8} \cdot \frac{3}{5} \\x=\frac{9}{40}=0.225$
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