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: 22

Answer

$x=\frac{3}{5}$

Work Step by Step

We set up a proportion, using $\frac{x_1}{y_1}=\frac{x_2}{y_2}$, where $x_1$ and $y_1$ represent the $x$ and $y$ values in the problem, and $x_2$ and $y_2$ represent the new values. In this case, we don't know what $x_2$ is, so we will represent that as $x$. We set up the proportion to get $\frac{-3}{5}=\frac{x}{-1}$ Cross multiplying gives $5x=3$ To isolate $x$, we divide both sides by 5, giving $x=\frac{3}{5}$
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