Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 424: 21


The tail length of an alligator whose body length is 6 feet is 5.4 feet.

Work Step by Step

We can write an equation that models an alligator’s tail length T, varying directly as its body length, B, as, $T=kB$ Substitute B = 4 feet and T = 3.6 feet in the above equation. $T=kB$ $3.6=k\times 4$ $0.9=k$ Substitute the value of $k$ into the equation, $T=kB$. $T=0.9\times B$ Now, substitute 6 feet for B in $T=0.9\times B$ and solve for T, that is, $\begin{align} & T=0.9\times 6 \\ & =5.4 \end{align}$
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