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: 1


$k=\frac{1}{5}$, $y=\frac{1}{5}x$

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 $y=4$ when $x=20$, then we know that $4=20k$. Divide both sides by 20. $k=\frac{4}{20}=\frac{1}{5}$ Therefore, the constant of variation is $k=\frac{1}{5}$ and the direct variation equation is $y=\frac{1}{5}x$.
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