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: 5


$k=14$, $y=14x$

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 $y=7$ when $x=\frac{1}{2}$, then we know that $7=\frac{1}{2}k$. Multiply both sides by 2. $k=7\times2=14$ Therefore, the constant of variation is $k=14$ and the direct variation equation is $y=14x$.
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