Solve the problem.
-The population of wolves in a state park after t years is modeled by the function $\mathrm { P } ( \mathrm { t } ) = \frac { 1200 } { 1 + 99 \mathrm { e } ^ { - 0.3 \mathrm { t } } }$. What was the initial population of wolves?
A) 12
B) 99
C) 1200
D) 24

Question

Quizplus · Accepted Answer

To find the initial population of wolves, we set $t = 0$ in the given function: $P(0) = \frac{1200}{1 + 99e^{0}} = \frac{1200}{1 + 99} = \frac{1200}{100} = 12$.

Solve the Problem P(t)=12001+99e−0.3t\mathrm { P } ( \mathrm { t } ) = \frac { 1200 } { 1 + 99 \mathrm { e } ^ { - 0.3 \mathrm { t } } }P(t)=1+99e−0.3t1200​

Solve the Problem $\mathrm { P } ( \mathrm { t } ) = \frac { 1200 } { 1 + 99 \mathrm { e } ^ { - 0.3 \mathrm { t } } }$