In 2000 the population of country A reached 3 million, and in 2025 it is projected to be 5.5 million. (a) Find values for P0 and a so that the following formula models the population of country A in year x.

f(x)=P0a^x-2000

(b) Estimate the country's population in 2010 to the nearest hundredth of a million.

(c) Use f to determine the year during which the country's population might reach 10 million.