The population of a town is increasing by 2% per year. The current population of the town is 11 568. a) Write an exponential function to model the population remaining, P, after t years. Graph the...

The population of a town is increasing by 2% per year. The current population of the town is 11 568.

a) Write an exponential function to model the population remaining, P, after t years. Graph the function. Explain.

b) States the transformations in your exponential function.

c) Use your equation to determine the population remaining after 5 years.

d) Use the graph to approximate the population in the town after 20 years.

e) According to your equation, will the population ever reach zero? Is this reasonable? Explain.