Solve the problem.
-The number of students infected with the flu on a college campus after $t$ days is modeled by the function $P ( t ) = \frac { 160 } { 1 + 39 e ^ { - 0.3 t } }$. What was the initial number of infected students?
A) 4
B) 160
C) 8
D) 39

Question

Quizplus · Accepted Answer

To find the initial number of infected students, substitute $t = 0$ into the function: $P(0) = \frac{160}{1 + 39e^{0}} = \frac{160}{1 + 39} = \frac{160}{40} = 4$.

Solve the Problem ttt Days Is Modeled by the Function P(t)=1601+39e−0.3tP ( t ) = \frac { 160 } { 1 + 39 e ^ { - 0.3 t } }P(t)=1+39e−0.3t160​

Solve the Problem $t$ Days Is Modeled by the Function $P ( t ) = \frac { 160 } { 1 + 39 e ^ { - 0.3 t } }$