The size of a population (in hundreds) is modeled by

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

The size

P(t)

of a population (in hundreds) is modeled by

P(t)=\dfrac{800}{1+9e^{-0.6t}}

, where

t

is measured in months. Calculate the time

t

(to the nearest tenth of a month) at which the population reaches 400.