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: 2

Answer

$k=\frac{1}{6}$, $y=\frac{1}{6}x$

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 $y=5$ when $x=30$, then we know that $5=30k$. Divide both sides by 30. $k=\frac{5}{30}=\frac{1}{6}$ Therefore, the constant of variation is $k=\frac{1}{6}$ and the direct variation equation is $y=\frac{1}{6}x$.
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