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 0sts 50. A(t) = 11.12(1.006) Enter your search term (a) Use A to estimate the average rate of change in the population from 2000 to 2015. (b) Estimate the instantaneous rate of change in the population in 2015.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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=D0 corresponds to 2000 and 0 sts 50.
A(t) = 11.12(1.006)'
(a) Use A to estimate the average rate of change in the population from 2000 to 2015.
(b) Estimate the instantaneous rate of change in the population in 2015.
Enter your search term
(a) What is the expression for the average rate of change? Select the correct answer below and fill in the answer boxes
complete your choice
(Type whole numbers. Use descending order.)
f(O -fO
OA.
f(
lim
+h) - f(
OB.
h-0
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=D0 corresponds to 2000 and 0 sts 50. A(t) = 11.12(1.006)' (a) Use A to estimate the average rate of change in the population from 2000 to 2015. (b) Estimate the instantaneous rate of change in the population in 2015. Enter your search term (a) What is the expression for the average rate of change? Select the correct answer below and fill in the answer boxes complete your choice (Type whole numbers. Use descending order.) f(O -fO OA. f( lim +h) - f( OB. h-0
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