James is studying newly discovered bacteria in a petri dish. At time LaTeX: t=0t = 0 there is 52 bacteria found in the dish. This bacteria is growing at a 14% rate every hour. A. Write the function LaTeX: f(t)f ( t ) that represents the amount of bacteria found each hour.

B. Explain what LaTeX: tt represents.

C. Explain what LaTeX: f(t)f ( t ) represents.

D. If it continues at this rate, how much bacteria will be in the dish after 12 hours.