Personal Income Personal Income Year ($ billions) Year ($ billions) 1990 4847 2008 12,239 2000 8559 2009 12,026 2004 9937 2010 12,429 2005 10,486 2011 13,202 2006 11,268 2012 13,888 2007 11,894 2013 14,167

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 33E
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Personal Income The income received by people
from all sources minus their personal contributions
for Social Security insurance is called personal
income. The table lists the personal income, in billions of dollars, of people living in the United States
for the indicated years.

a. Using an input equal to the number of years after
1980, find a quadratic function that models these
data.
b. Use your unrounded model to estimate when after
1980 the personal income was $9500 billion.
c. When does the model estimate that the personal
income will be double its 2009 value?

Personal Income
Personal Income
Year
($ billions)
Year
($ billions)
1990
4847
2008
12,239
2000
8559
2009
12,026
2004
9937
2010
12,429
2005
10,486
2011
13,202
2006
11,268
2012
13,888
2007
11,894
2013
14,167
Transcribed Image Text:Personal Income Personal Income Year ($ billions) Year ($ billions) 1990 4847 2008 12,239 2000 8559 2009 12,026 2004 9937 2010 12,429 2005 10,486 2011 13,202 2006 11,268 2012 13,888 2007 11,894 2013 14,167
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