52. Total personal income With U.S. Department of Com- merce data for selected years from 1960 and projected to 2018, the rate of change of U.S. total personal income can be modeled by dI = 12.59t - 51.74 dt billions of current dollars per year, where t = 0 represents 1960. (a) If U.S. total personal income was $8429.7 billion in 2000, find the function that models I(t). (b) What does I(t) predict for the U.S. total personal income in 2015?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
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52. Total personal income With U.S. Department of Com-
merce data for selected years from 1960 and projected
to 2018, the rate of change of U.S. total personal income
can be modeled by
dI
12.59t - 51.74
dt
billions of current dollars per year, where t = 0
represents 1960.
(a) If U.S. total personal income was $8429.7 billion in
2000, find the function that models I(t).
(b) What does I(t) predict for the U.S. total personal
income in 2015?
08.
Transcribed Image Text:52. Total personal income With U.S. Department of Com- merce data for selected years from 1960 and projected to 2018, the rate of change of U.S. total personal income can be modeled by dI 12.59t - 51.74 dt billions of current dollars per year, where t = 0 represents 1960. (a) If U.S. total personal income was $8429.7 billion in 2000, find the function that models I(t). (b) What does I(t) predict for the U.S. total personal income in 2015? 08.
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