The number of Americans age 65 or older can be modeled as n(x)0.00082x3 0.059x2 0.183x + 34.42 where output is measured in million people and x is the number of years since 2000, projections through 2050.t (a) What is the projected number of Americans 65 years of age and older in 2011? in 2040? (Round your answers to three decimal places.) million people million people 2011 2040 (b) What is the rate of change of the projected number in 2011? in 2040? (Round your answers to three decimal places.) million people per year 2011 million people per year 2040 (c) Calculate the percentage rate of change in the projected number in 2040. (Round your answer to two decimal places.) % per year

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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The number of Americans age 65 or older can be modeled as
n(x)0.00082x3 0.059x2 0.183x + 34.42
where output is measured in million people and x is the number of years since 2000, projections through 2050.t
(a) What is the projected number of Americans 65 years of age and older in 2011? in 2040? (Round your answers to three decimal places.)
million people
million people
2011
2040
(b) What is the rate of change of the projected number in 2011? in 2040? (Round your answers to three decimal places.)
million people per year
2011
million people per year
2040
(c) Calculate the percentage rate of change in the projected number in 2040. (Round your answer to two decimal places.)
% per year
Transcribed Image Text:The number of Americans age 65 or older can be modeled as n(x)0.00082x3 0.059x2 0.183x + 34.42 where output is measured in million people and x is the number of years since 2000, projections through 2050.t (a) What is the projected number of Americans 65 years of age and older in 2011? in 2040? (Round your answers to three decimal places.) million people million people 2011 2040 (b) What is the rate of change of the projected number in 2011? in 2040? (Round your answers to three decimal places.) million people per year 2011 million people per year 2040 (c) Calculate the percentage rate of change in the projected number in 2040. (Round your answer to two decimal places.) % per year
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