Choose the one alternative that best completes the statement or answers the question.
-The logistic growth function $\mathrm { f } ( \mathrm { t } ) = \frac { 50,000 } { 1 + 2,499.0 \mathrm { e } ^ { - 1.9 t } }$ 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 became ill with this infection when the epidemic began?
A) 20 people
B) 2,500 people
C) 50,000 people
D) 2,499 people

Question

Quizplus · Accepted Answer

To find the number of people who became ill when the epidemic began, we set $t = 0$ in the logistic growth function and solve for $f(0)$. Substituting $t = 0$ into the function gives $f(0) = \frac{50,000}{1 + 2,499.0e^{-1.9(0)}} = \frac{50,000}{1 + 2,499} = \frac{50,000}{2,500} = 20$.

Choose the One Alternative That Best Completes the Statement or Answers