Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can be modeled by the following exponential function, where t= 0 corresponds to 2000 and Osts 50. A(t) = 11.27(1.021) (a) Use A to estimate the average rate of change in the population from 2000 to 2012. (b) Estimate the instantaneous rate of change in the population in 2012.

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Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can be modeled by the following exponential function, where t= 0 corresponds to 2000 and
Osts 50.
A(t) = 11.27(1.021)
(a) Use A to estimate the average rate of change in the population from 2000 to 2012.
(b) Estimate the instantaneous rate of change in the population in 2012.
Transcribed Image Text:Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can be modeled by the following exponential function, where t= 0 corresponds to 2000 and Osts 50. A(t) = 11.27(1.021) (a) Use A to estimate the average rate of change in the population from 2000 to 2012. (b) Estimate the instantaneous rate of change in the population in 2012.
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