Solve the problem.
-The logistic growth functi $f ( t ) = \frac { 12,000 } { 1 + 199 e ^ { - 1.7 t } }$ models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after
9 weeks?
A) 12,000 people
B) 11,999 people
C) 12,200 people
D) 540 people

Question

Quizplus · Accepted Answer

To find the number of people ill after 9 weeks, substitute $t = 9$ into the given logistic growth function: $f(9) = \frac{12,000}{1 + 199e^{-1.7 \times 9}}$. Calculating this gives approximately 11,999 people.

Solve the Problem f(t)=12,0001+199e−1.7tf ( t ) = \frac { 12,000 } { 1 + 199 e ^ { - 1.7 t } }f(t)=1+199e−1.7t12,000​

Solve the Problem $f ( t ) = \frac { 12,000 } { 1 + 199 e ^ { - 1.7 t } }$