College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.6 - Variation - 3.6 Exercises: 3

Answer

$r=\frac{d}{t}$, means that $r$ varies directly with $d$ and also $r$ varies inversely with $t$.

Work Step by Step

The general equation for direct variation is $y=kx$, where k is the constant of the variation. The general equation for inverse variation is $y=\frac{k}{x}$, where k is the constant of the variation. Here, $r=\frac{d}{t}$, means that $r$ varies directly with $d$ and also $r$ varies inversely with $t$. As d is the nominator, there will be a direct variation between $r$ and $d$, as t is in the denominator, there will be an inverse variation between $r$ and $t$ As none of $d$ or $t$ is constant, there isn't any constant in these variations. Therefore we can say that the speed varies directly with the distance traveled and varies inversely with the time needed.
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