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?
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
