22. Per capita income. In 2009, U.S. per capita personal income I was $48,040. In 2012, it was $52,430. (Source data.worldbank.org.) Assume that the growth of U.S. per capita personal income follows an exponential model. a) Letting i = 0 be 2009, write the function. b) Predict what U.S. per capita income will be in 2020. c) In what year will U.S. per capita income be double that of 2009?

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Chapter6: Exponential And Logarithmic Functions
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22. Per capita income. In 2009, U.S. per capita personal
income I was $48,040. In 2012, it was $52,430. (Source
data.worldbank.org.) Assume that the growth of U.S.
per capita personal income follows an exponential
model.
a) Letting i = 0 be 2009, write the function.
b) Predict what U.S. per capita income will be in 2020.
c) In what year will U.S. per capita income be double
that of 2009?
Transcribed Image Text:22. Per capita income. In 2009, U.S. per capita personal income I was $48,040. In 2012, it was $52,430. (Source data.worldbank.org.) Assume that the growth of U.S. per capita personal income follows an exponential model. a) Letting i = 0 be 2009, write the function. b) Predict what U.S. per capita income will be in 2020. c) In what year will U.S. per capita income be double that of 2009?
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