An individual's adjusted gross income is the amount of income that is subject to federal income tax. The following table shows the total adjusted gross income (AGI), in trillions of dollars, reported to the IRS in the given year. Year AGI (trillions) 7.6 8.1 2009 2010 2011 2012 8.6 9.1 (a) Show that the data are linear. and the difference from 2011 to 2012 is , the difference from 2010 to 2011 is The difference in the total AGI (in trillions) from 2009 to 2010 is Because these values are all the same v , the function is linear. (b) Let t denote the time in years since 2009, and let A denote the total adjusted gross income. Find a linear model for A as a function of t. A(t) = (c) Identify the slope of the linear model you found in part (b). trillion dollars per year Explain its meaning in practical terms. O The slope is the initial amount, in trillion of dollars, of the AGI. O The slope is the number of months it will take the AGI to increase by one trillion dollars. O The slope is the total amount, in trillion of dollars, AGI was increasing by each year in this period. O The slope is the total amount, in trillion of dollars, AGI was increasing by each month in this period. O The slope is the number of years it will take the AGI to increase by one trillion dollars.
An individual's adjusted gross income is the amount of income that is subject to federal income tax. The following table shows the total adjusted gross income (AGI), in trillions of dollars, reported to the IRS in the given year. Year AGI (trillions) 7.6 8.1 2009 2010 2011 2012 8.6 9.1 (a) Show that the data are linear. and the difference from 2011 to 2012 is , the difference from 2010 to 2011 is The difference in the total AGI (in trillions) from 2009 to 2010 is Because these values are all the same v , the function is linear. (b) Let t denote the time in years since 2009, and let A denote the total adjusted gross income. Find a linear model for A as a function of t. A(t) = (c) Identify the slope of the linear model you found in part (b). trillion dollars per year Explain its meaning in practical terms. O The slope is the initial amount, in trillion of dollars, of the AGI. O The slope is the number of months it will take the AGI to increase by one trillion dollars. O The slope is the total amount, in trillion of dollars, AGI was increasing by each year in this period. O The slope is the total amount, in trillion of dollars, AGI was increasing by each month in this period. O The slope is the number of years it will take the AGI to increase by one trillion dollars.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:An individual's adjusted gross income is the amount of income that is subject to federal income tax. The following table shows the total adjusted gross income (AGI), in trillions of dollars, reported to the IRS in
the given year.
2009
2010 2011
2012
9.1
Year
AGI (trillions)
7.6 8.1
8.6
(a) Show that the data are linear.
, the difference from 2010 to 2011 is
and the difference from 2011 to 2012 is
The difference in the total AGI (in trillions) from 2009 to 2010 is
Because these values are all the same v , the function is linear.
(b) Let t denote the time in years since 2009, and let A denote the total adjusted gross income. Find a linear model for A as a function of t.
A(t) =
(c) Identify the slope of the linear model you found in part (b).
trillion dollars per year
Explain its meaning in practical terms.
O The slope is the initial amount, in trillion of dollars, of the AGI.
O The slope is the number of months it will take the AGI to increase by one trillion dollars.
O The slope is the total amount, in trillion of dollars, AGI was increasing by each year in this period.
O The slope is the total amount, in trillion of dollars, AGI was increasing by each month in this period.
O The slope is the number of years it will take the AGI to increase by one trillion dollars.
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