Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - Get Ready!: 1

Answer

$k=\frac{4}{3}$; When $x=-3$, $y=-4$

Work Step by Step

Write the formula for direct variation, which is $y=kx.$ Then, write the formula for the constant of variation, which is $k=\frac{y}{x}$. Substitute the given values ti solve for the constant of variation, which yields $k=\frac{4}{3}$. Use the direct variation formula to solve for $y$ when $x=-3$: $y=kx \\y=\frac{4}{3}(-3) \\y=-4$.
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