Let N(t) be the number of bacteria after t days. Then N(t) = Pa^t for some constants P and a. Measurements indicate that N(4) = 5600 and N(8) = 362, 000.

Question

a. Before working the problem, estimate the value of N(7), the number of bacteria at noon on the fourth day.

b. Write down two equations for P and a, one when t = 4 and the other when t = 8.

Thanks!