The Worldometers website (www.worldometers.info.) estimates that as of July 2015, the Philippine population is 101,802,706. Let P ( t ) denote the population t years after. a. Assuming that the rate...

The Worldometers website (www.worldometers.info.) estimates that as of July 2015, the Philippine population is 101,802,706. LetP(t) denote the populationt years after.

a. Assuming that the rate at which the population changes is proportional to the population at that time, find an explicit expression forP(t).

b. Using the model you found in item (a), determine the time when the population will reach 200,000,000.