## Precalculus (6th Edition) Blitzer

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}