Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.7 - Variation and Problem Solving - Exercise Set - Page 397: 4


$k=\frac{3}{2}$, $y=\frac{3}{2}x$

Work Step by Step

If y varies directly as x, we know that the variables x and y can be related by the function $y=kx$, where k is the constant of proportionality. If $y=12$ when $x=8$, then we know that $12=8k$. Divide both sides by 8. $k=\frac{12}{8}=\frac{3}{2}$ Therefore, the constant of variation is $k=\frac{3}{2}$ and the direct variation equation is $y=\frac{3}{2}x$.
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