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 - Lesson Check: 3

Answer

$\frac{5}{4}$

Work Step by Step

We need to isolate y. We start by adding 5x to both sides to isolate $y$ and its coefficient. Then, we divide both sides by 4 to fully isolate $y$. We have: $4y=5x \\y=\frac{5x}{4} \\y=\frac{5}{4}x$ In a direct variation $y=kx$, the constant of variation is $k$, so the constant of variation is $\frac{5}{4}$.
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