Mathematics

Problem

93. Spread of Flu The number of students infected with flu after

t

days at Springfield High School is modeled by the function

P(t)=\frac{1600}{1+99 e^{-0.4 t}}

(a) What was the initial number of infected students? (b) When will 800 students be infected? (c) The school will close when 400 of the 1600 student body are infected. When would the school close?

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