Question

The population P (in thousands) of a city from 1990 - 2005 can be modeled by P= 375.55e^-0.01052t, where t is the great,b with t=0 corresponding to 1990. According to the model, during what year will the population be approximately 300,000?

Answer 1

Population model
P=375.55e^(-0.01052t)
we are required to find t when p=300000.
substituting the values in formula and solving for t we get:
300000=375.55e^(-0.01052t)
this will give us
798.828385=e^(-0.01052t)
getting the natural log of both sides will be:
6.683146136=0.01052t
t=635.28~635

Given that t=0 in 1990, the population would be 300000 in the years 2625