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 2009 2010 2011 2012 AGI (trillions) 7.6 8.1 8.6 9.1 (a) Show that the data are linear. The difference in the total AGI (in trillions) from 2009 to 2010 is _, the difference from 2010 to 2011 is and the difference from 2011 to 2012 is . Because these values are all ____ , 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. The slope is the number of months it will take the AGI to increase by one trillion dollars.The slope is the number of years it will take the AGI to increase by one trillion dollars. The slope is the initial amount, in trillion of dollars, of the AGI.The slope is the total amount, in trillion of dollars, AGI was increasing by each month in this period.The slope is the total amount, in trillion of dollars, AGI was increasing by each year in this period

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,...

See similar textbooks

Related questions

Concept explainers

Question

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	2009	2010	2011	2012
AGI (trillions)	7.6	8.1	8.6	9.1

(a) Show that the data are linear.

The difference in the total AGI (in trillions) from 2009 to 2010 is _________, the difference from 2010 to 2011 is ________ and the difference from 2011 to 2012 ________ is . Because these values are all ____________ , 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.

The slope is the number of months it will take the AGI to increase by one trillion dollars.The slope is the number of years it will take the AGI to increase by one trillion dollars. The slope is the initial amount, in trillion of dollars, of the AGI.The slope is the total amount, in trillion of dollars, AGI was increasing by each month in this period.The slope is the total amount, in trillion of dollars, AGI was increasing by each year in this period.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions