Question

Use the following information regarding the farm population(in millions of persons)from 1945 to 1990.

Year 1945(24.3 millions of persons), 1990(4.4 Millions of Persons).

a. Write a linear model for the farm
population, y, in millions of
persons. Let X=0 represent 1945.
b. Use the linear model to estimate the
average farming population in 1975.
c. Use the linear model to estimate the
average farming population in 1980.

Answer 1

Linear model mean the rate of change is constant.

SO the rate is (4.4-24.3)/45 = 0.442

a) So the model function is

f(t)=24.3 -0.442t

b)in year 1975, t=30

f(30)=24.3-0.442*30 = 11.04

about 11 million.

c) in year 1980, t=35

f(35)=24.3-0.442*35 = 8.83 million

Answer 2

Thank you very much for your help.