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: 23

Answer

$y = 21$

Work Step by Step

First, we need to find the constant of variation for this exercise. We have an $x$ value and a $y$ value. Let's plug these values into the formula for direct variation, $y = kx$ to find $k$, the constant of variation: $-7 = k(-3)$ Divide both sides by $-3$ to isolate $k$: $k = \frac{7}{3}$ Our constant of variation is $\frac{7}{3}$. Now, we want to find $y$ when $x$ is a specific value. We plug $y$ and the $k$ we just found into the formula for direct variation: $y = \frac{7}{3}(9)$ Multiply to simplify: $y = \frac{63}{3}$ Simplify the fraction: $y = 21$
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