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: 46

Answer

$x=-0.96$

Work Step by Step

To find $x$ when $y=2/5$, set up a proportion using two forms of $\frac{y}{x}$ $\dfrac{-\frac{5}{8}}{\frac{3}{2}}=\dfrac{\frac{2}{5}}{x}$ Now write the cross products $(-\frac{5}{8})x=(\frac{3}{2})(\frac{2}{5})$ Simplify $(-\frac{5}{8})x=\frac{6}{10} \\(-\frac{5}{8})x=\frac{3}{5}$ Divide each side by $-\frac{5}{8}$ $\dfrac{(-\frac{5}{8})x}{-\frac{5}{8}}=\dfrac{\frac{3}{5}}{-\frac{5}{8}} \\x=\frac{3}{5} \cdot \frac{-8}{5} \\x=-\frac{24}{25}=-0.96$
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