Disposable income is the amount left after taxes have been paid and is one measure of the health of the economy. The following table gives the total U.S. disposable income (in billions of 2005 dollars) for selected years from 2010 and projected to 2040. Year 2010 2015 2020 2025 2030 2035 2040 Income (billions) $10,017 $11,120 $12,655 $14,259 $15,948 $17,752 $19,785 (a) Use x as the number of years past 2010 and write the equation of the quadratic function that best models these data. (Round all numerical values to one decimal places.) y(x) = (b) What does the model predict for the disposable income (in billions of dollars) in 2024? (Round your answer to one decimal place.) billion dollars

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Disposable income is the amount left after taxes have been paid and is one measure of the health of the economy. The following table gives the total U.S. disposable income (in billions of 2005 dollars) for selected years from 2010 and projected to 2040.
Year
2010
2015
2020
2025
2030
2035
2040
Income (billions) $10,017 $11,120 $12,655 $14,259 $15,948 $17,752 $19,785
(a) Use x as the number of years past 2010 and write the equation of the quadratic function that best models these data. (Round all numerical values to one decimal places.)
y(x) =
(b) What does the model predict for the disposable income (in billions of dollars) in 2024? (Round your answer to one decimal place.)
billion dollars
Transcribed Image Text:Disposable income is the amount left after taxes have been paid and is one measure of the health of the economy. The following table gives the total U.S. disposable income (in billions of 2005 dollars) for selected years from 2010 and projected to 2040. Year 2010 2015 2020 2025 2030 2035 2040 Income (billions) $10,017 $11,120 $12,655 $14,259 $15,948 $17,752 $19,785 (a) Use x as the number of years past 2010 and write the equation of the quadratic function that best models these data. (Round all numerical values to one decimal places.) y(x) = (b) What does the model predict for the disposable income (in billions of dollars) in 2024? (Round your answer to one decimal place.) billion dollars
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