Solve the problem.
-The logistic growth function $\mathrm { f } ( \mathrm { t } ) = \frac { 64,000 } { 1 + 1279 \mathrm { e } ^ { - 1.7 t } }$ 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) 63,981 people
B) 64,000 people
C) 450 people
D) 65,280 people

Question

Quizplus · Accepted Answer

To find the number of people ill after 9 weeks, substitute $t = 9$ into the given logistic growth function: $\mathrm { f } ( 9 ) = \frac { 64,000 } { 1 + 1279 \mathrm { e } ^ { - 1.7 \times 9 } }$. Calculating this gives a value very close to 64,000, but slightly less, making 63,981 the correct answer.

Solve the Problem f(t)=64,0001+1279e−1.7t\mathrm { f } ( \mathrm { t } ) = \frac { 64,000 } { 1 + 1279 \mathrm { e } ^ { - 1.7 t } }f(t)=1+1279e−1.7t64,000​

Solve the Problem $\mathrm { f } ( \mathrm { t } ) = \frac { 64,000 } { 1 + 1279 \mathrm { e } ^ { - 1.7 t } }$