The rat population in a major metropolitan city is given by

The rat population in a major metropolitan city is given by the formula n(t)= 25 e^{0.01 t} where t is measured in years since 1990 and n(t) is measured in millions. What was the rat population in 1990 ?

Solution

Solution: Given : Formula for the rat population n(t)= 25 e^{0.01 t} where t measured in years since 1990 and n(t) is measured in millions.

Substituting t = 0, in the given formula to get the rat population in 1990.

n(0)= 25 e^{0.01 x 0}

       = 25 e^{0}

        = 25 x 1

       = 25 millions.                         Ans.