Solve the problem.
-The number of students infected with the flu on a college campus after $t$ days is modeled by the function $P ( t ) = \frac { 600 } { 1 + 39 e ^ { - 0.3 t } }$. What is the maximum number of infected students possible?
A) 300
B) 15
C) 1200
D) 600

Question

Quizplus · Accepted Answer

The maximum number of infected students is determined by the horizontal asymptote of the function, which is 600. This is because as $t$ approaches infinity, the exponential term $e^{-0.3t}$ approaches 0, making the denominator approach 1, and thus $P(t)$ approaches 600.

Solve the Problem ttt Days Is Modeled by the Function P(t)=6001+39e−0.3tP ( t ) = \frac { 600 } { 1 + 39 e ^ { - 0.3 t } }P(t)=1+39e−0.3t600​

Solve the Problem $t$ Days Is Modeled by the Function $P ( t ) = \frac { 600 } { 1 + 39 e ^ { - 0.3 t } }$