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: 6

Answer

$k=33$, $y=33x$

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 $y=11$ when $x=\frac{1}{3}$, then we know that $11=\frac{1}{3}k$. Multiply both sides by 3. $k=11\times3=33$ Therefore, the constant of variation is $k=33$ and the direct variation equation is $y=33x$.
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