Medicare Beneficiary Spending Out-of-pocket spending projections for a typical Medicare beneficiary as a share of his or

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Medicare Beneficiary Spending Out-of-pocket spending projections for a typical Medicare beneficiary as a share of his or her income are given in the table. Let x = 0 represent 1990, so x = 8 represents 1998. Use a graphing calculator to do the following.

(a) Graph the data points.

(b) Find a quadratic function to model the data.

(c) Find a cubic function to model the data.

(d) Graph each function in the same viewing window as the data points.

(e) Compare the two functions. Which is a better fit for the data?

Year .................................Percent of Income

1998 ...........................................18.6

2000 ...........................................19.3

2005 ...........................................21.7

2010 ...........................................24.7

2015 ...........................................27.5

2020 ...........................................28.3

2025 ...........................................28.6

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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