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) = 0.002x2 − 0.213x + 27.84 percent where x is the number of decades since 1970.† How rapidly was the population of the Midwest changing in 1980 and in 1990?

College Algebra
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Chapter5: Exponential And Logarithmic Functions
Section5.4: Exponential And Logarithmic Equations
Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...
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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) = 0.002x2 − 0.213x + 27.84 percent

where x is the number of decades since 1970.†

How rapidly was the population of the Midwest changing in 1980 and in 1990?
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