Solve the problem.
-The logistic growth function $f ( t ) = \frac { 720 } { 1 + 9.3 e ^ { - 0.12 t } }$ describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies were initially introduced to the habitat?
A) 70 butterflies
B) 720 butterflies
C) 9 butterflies
D) 2 butterflies

Question

Quizplus · Accepted Answer

The initial population is found by evaluating the logistic function at $ t = 0 $. Substituting $ t = 0 $ into the function gives $ f(0) = \frac{720}{1 + 9.3 \cdot e^0} = \frac{720}{1 + 9.3} = \frac{720}{10.3} \approx 70 $.

Solve the Problem f(t)=7201+9.3e−0.12tf ( t ) = \frac { 720 } { 1 + 9.3 e ^ { - 0.12 t } }f(t)=1+9.3e−0.12t720​

Solve the Problem $f ( t ) = \frac { 720 } { 1 + 9.3 e ^ { - 0.12 t } }$