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Using U.S. Energy Information Administration data for selected years from 2010 and projected to 2040, the U.S. real disposable income per capita (in thousands of dollars) can be modeled by I(t) = 32.11(1.014)* where t is the number of years after 2010.

Using U.S. Energy Information Administration data for selected years from 2010 and projected to 2040, the U.S. real disposable income per capita (in thousands of dollars) can be modeled by I(t) = 32.11(1.014)* where t is the number of years after 2010.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
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Using U.S. Energy Information Administration data for selected years from 2010 and projected to 2040, the U.S. real disposable income per capita (in thousands of dollars) can be modeled by I(t) = 32.11(1.014)* where t is the number of years after 2010. (a) Write the function that models the rate of change of U.S. per capita real disposable income (in thousands of dollars/year). (Round your coefficients to four decimal places.) I'(t) = 32.10001(1.0140)'-1 × (b) Predict the rate of change (in thousands of dollars/year) of U.S. per capita real disposable income in 2038. (Round your answer to four decimal places.) $ 1308.2413 xthousand/year
Transcribed Image Text:Using U.S. Energy Information Administration data for selected years from 2010 and projected to 2040, the U.S. real disposable income per capita (in thousands of dollars) can be modeled by I(t) = 32.11(1.014)* where t is the number of years after 2010. (a) Write the function that models the rate of change of U.S. per capita real disposable income (in thousands of dollars/year). (Round your coefficients to four decimal places.) I'(t) = 32.10001(1.0140)'-1 × (b) Predict the rate of change (in thousands of dollars/year) of U.S. per capita real disposable income in 2038. (Round your answer to four decimal places.) $ 1308.2413 xthousand/year
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