Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 9 - Section 9.4 - Variation and Problem Solving - Exercise Set: 32

Answer

The constant of variation is $\frac{1}{2}$. The variation equation is $y=\frac{1}{2}x^3$.

Work Step by Step

$y=kx^3$ $y=32; x=4$ $32=k(4)^3$ $32=k(64)$ $k=\frac{1}{2}$ $y=\frac{1}{2}x^3$ The constant of variation is $\frac{1}{2}$. The variation equation is $y=\frac{1}{2}x^3$.
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