please answer all parts listedalso approximate the growth rate of city’s population in 2000 Let p(t) represent the population of a major city t years after 1950, as shown in the table and figure. Answer parts (a) through (c)below.Year 1950 1960197020198030199040200050t010p(t) 59,000 111,892 212,202 402,437 763,2131,447,419Population (thousands)200016001200+8004000 10 20 30 40 50Years after 1950QQG a. Compute the average rate of growth of the city population from 1970 to 1980.The average rate of growth ispeople/year.(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)b. Explain why the average rate of growth calculated in part (a) is a good estimate of the instantaneous rate of growth of the city in 1975. Choose the correctanswer below.O A.p(30)-p(20)The formulagives the instantaneous rate of population change in 1975.30-20OB. The slope of the tangent line at t = 25 is approximately equal to the slope of the secant line through points (2p(20)) and (30.p(30)).OC. The average rate of growth from 1970 to 1980 equals the slope of the secant line through points (20,p(20)) and (30,p(30)).c. Compute the average rate of growth of the city from 1990 to 2000.The average rate of growth is people / year.(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)

Question

Accepted Answer

Answered: Image /qna-images/answer/429f6552-445e-4945-a79a-155b7b9f6a3b.jpg