4. [-/0.77 Points] DETAILS TANAPCALCBR10 3.2.064.DEFECTIVE MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Population Growth A major corporation is building a 4,325-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 years from now will be given by P(t) = 20tz + 100t + 80 +2 + 5t + 20 (a) Find the rate (in people/year) at which Glen Cove's population is changing with respect to time. P' (t ) = (b) What will the population be after 10 years? (Round your answer to the nearest person.) people At what rate (in people/year) will the population be Increasing when t = 10? (Round your answer to the nearest integer.) people/year