Solve the problem.
-The logistic growth functi $f ( t ) = \frac { 800 } { 1 + 9.0 e ^ { - 0.16 t } }$ describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 15
Months?
A) 801 butterflies
B) 1,200 butterflies
C) 440 butterflies
D) 12,000 butterflies

Question

Quizplus · Accepted Answer

To find the expected number of butterflies after 15 months, substitute $t = 15$ into the given logistic growth function: $f(15) = \frac{800}{1 + 9.0e^{-0.16 \times 15}}$. Calculating this gives approximately 440 butterflies.

Solve the Problem f(t)=8001+9.0e−0.16tf ( t ) = \frac { 800 } { 1 + 9.0 e ^ { - 0.16 t } }f(t)=1+9.0e−0.16t800​

Solve the Problem $f ( t ) = \frac { 800 } { 1 + 9.0 e ^ { - 0.16 t } }$