Answer
a. 14 elk
b. 51 elk
c. 140 elk
Work Step by Step
The logistic growth model, given by $A=\displaystyle \frac{c}{1+ae^{-bt}}$,
(a,b,c are constants and $c>0, b>0$)
describes situations in which growth is limited.
$y=c$ is a horizontal asymptote for the graph,
and growth, $A$, can never exceed $c$.
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a. initially, t=0.
$f(0)=\displaystyle \frac{140}{1+9e^{-0.165\cdot 0}}=14$ (elk)
b. when t=10,
$ f(0)=\displaystyle \frac{140}{1+9e^{-0.165\cdot 10}}\approx$51 (elk)
c. The constant c is the limiting size... 140 elk
