Question

Based on census data, the population of Freedonia is modeled by the function P(t)=265t^2+36600 people, where t represents the number of years after 1990. Use this function to determine in which year the population of Freedonia was increasing at a rate of 2650 people per year.

Answer 1

dP/dt = 530t
so dP/dt = 2650 when t = 5
So that makes it 1995

Answer 2

P ' (t) = 530t
530t = 2650
t = 5

looks like 1995

Answer 3

I got it Thank you!