Expenditures for U.S. Health Care The cost per person per year for health care, with projections to 2018, is shown in the following table.
Year | $ per Person | Year | $ per Person |
2000 | 4789 | 2010 | 8465 |
2002 | 5563 | 2012 | 9275 |
2004 | 6331 | 2014 | 10,289 |
2006 | 7091 | 2016 | 11,520 |
2008 | 7826 | 2018 | 12,994 |
(Source: U.S. Medicare and Medicaid Services)
a. Let x represent the number of years after 2000 and y represent the annual cost and sketch the scatter plot of the data.
b. Graph the function y = 1.149x3 − 21.564x2 + 473.575x + 4749.394 on the same axes as the scatter plot.
c. Is the function a good visual fit to the data?
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