James is studying newly discovered bacteria in a petri dish. at time t = 0 there is 57 bacteria found in the dish. this bacteria is growing at a 12% rate every hour.

a. write the function f(x) that represents the amount of bacteria found each hour.

b. explain what x represents.

c. explain what f(x) represents.

d. if it continues at this rate, how much bacteria will be in the dish after 8 hours.