Population growth a major corporation is building a

Question

Question: POPULATION GROWTH A major corporation is building a 4325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t yr from now will be given by

P(t) = 25t² + 125t + 200
             t² + 5t + 40

a. Find the rate at which Glen Cove's population is changing with respect to time.

b. What will be the population after 10 yr? At what rate will the population be increasing when t = 10?