The population (in millions) of the United States between 1970 and 2010 can be modeled as...

Transcribed Image Text:

The population (in millions) of the United States between 1970 and 2010 can be modeled as p(x) = 203.12e0.011x million people where x is the number of decades after 1970. The percentage of people in the United States who live in the Midwest between 1970 and 2010 can be modeled as m(x) = 0.002x - 0.213x + 27.84 percent where x is the number of decades since 1970.+ (a) Write an expression for the number of people who live in the Midwest x decades after 1970. f(x) = million people (b) Write an expression for the rate of change of the population of the Midwest. f'(x) = million people per decade (c) How rapidly was the population of the Midwest changing in 1980 and in 2000? (Round your answers to three decimal places.) 1980 million people per decade 2000 million people per decade Need Help? Read It The population (in millions) of the United States between 1970 and 2010 can be modeled as p(x) = 203.12e0.011x million people where x is the number of decades after 1970. The percentage of people in the United States who live in the Midwest between 1970 and 2010 can be modeled as m(x) = 0.002x - 0.213x + 27.84 percent where x is the number of decades since 1970.+ (a) Write an expression for the number of people who live in the Midwest x decades after 1970. f(x) = million people (b) Write an expression for the rate of change of the population of the Midwest. f'(x) = million people per decade (c) How rapidly was the population of the Midwest changing in 1980 and in 2000? (Round your answers to three decimal places.) 1980 million people per decade 2000 million people per decade Need Help? Read It