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 71: 24



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 $y_2$ is, so we will represent that as $y$. We set up the proportion to get $\frac{15}{25}=\frac{6}{y}$ Cross multiplying gives $15y=150$ To isolate $y$, we divide both sides by 15, giving $y=10$
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