Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 314: 70


The direct variation equation is $y = 3x$. $y = 30$

Work Step by Step

The equation for direct variation is given by the following formula: $y = kx$, where $k$ is the constant of variation. To write a direct variation equation, we must first find the constant of variation. Let's plug in the values for $x$ and $y$ that we are given: $9 = k(3)$ Divide both sides by $3$ to solve for $k$: $k = 3$ The direct variation equation is $y = 3x$. Now that we have the equation, to find $y$, we simply plug in the value we are given for $x$: $y = 3(10)$ Multiply to simplify: $y = 30$
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