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.)Is this average rate of growth an overestimate or underestimate of the instantaneous rate of growth of the cityin 2000?UnderestimateO OverestimateApproximate the growth rate of the city's population in 2000.The instantaneous rate of growth is about people/year.(Simplify your answer. Round to the nearest ten thousand as needed.) Let p(t) represent the population of a major city t years after 1950, as shown in thetable and figure. Answer parts (a) through (c) below.Year 195019601970198019902000t01020304050p(t) 59,000 114,153 220,862 427,322 826,779 1,599,646a. Compute the average rate of growth of the city population from 1970 to 1980.The average rate of growth is people/year.(Simplify your answer. Type an integer a decimal. Round to the nearest tenth as needed.)OB.Population (thousands)b. Explain why the average rate of growth calculated in part (a) is a good estimate of the instantaneous rate ofgrowth of the city in 1975. Choose the correct answer below.p(30)-p(20)30-20The formula200016001200OA. 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)).800]400F‒‒‒‒00000 10 20 30 40 50Years after 1950gives the instantaneous rate of population change in 1975.OC. The slope of the tangent line at t = 25 is approximately equal to the slope of the secant line throughpoints (20,p(20)) and (30,p(30)).

Answered: Image /qna-images/answer/6a8a3ccd-dff5-4179-83a8-a03015b26b80.jpg

Answered: Let p(t) represent the population of a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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