Question: By using Social Security Administration data for selected years from 1950 and projected to 2050, the population of Americans ages 20 to 64 can be

By using Social Security Administration data for selected years from 1950 and projected to 2050, the population of Americans ages 20 to 64 can be modeled by the function

where t is the number of years after 1950 and P(t) is in millions.
(a) Find and interpret P`(45).
(b) At what rate is this population projected to increase in 2040?
(c) What does this tell us about this population after 2040?

250 -0.0280t 1+1.91e0.0280t P(t)

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