the number of students infected with flu at a high school after t days is modeled by the function…
the number of students infected with flu at a high school after t days is modeled by the function p(t)=700/(1 + 24e^(-0.3t)). what was the initial number of students infected?
Answer
Explanation:
Step1: Identify initial condition
Initial number of students is when $t = 0$.
Step2: Substitute $t = 0$ into function
Substitute $t=0$ into $P(t)=\frac{700}{1 + 24e^{-0.3t}}$. Since $e^{-0.3\times0}=e^{0}=1$, we have $P(0)=\frac{700}{1 + 24\times1}$.
Step3: Calculate the value
$P(0)=\frac{700}{1 + 24}=\frac{700}{25}=28$.
Answer:
28