2. (10) A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of change of the town's population. The study found that the town's population (measured in thousands of people) can be modeled by the function P(t) = gts + 64t + 3000, where t is measured in years. a. Find P'(4) b. What does P'(4) tell us? (i.e. What does the derivative of P(x) for x = 4 tell us?). Explain in your own words