(b) Find a power model and a quadratic model for the data. (Round all numerical values to four decimal places.) power model y(x) = quadratic model y(x) = (c) Which model from part (b) approximates more accurately the data point for 2020? O power model O quadratic model (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your answer to the nearest billion dollars.) 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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The table shows the national expenditures for health care in the United States for selected years, with projections to 2020.
National Expenditures
for Health Care (billions)
$28
75
254
714
1017
1353
1981
2954
3308
4487
Year
1960
1970
1980
1990
1995
2000
2005
2010
2015
2020
Transcribed Image Text:The table shows the national expenditures for health care in the United States for selected years, with projections to 2020. National Expenditures for Health Care (billions) $28 75 254 714 1017 1353 1981 2954 3308 4487 Year 1960 1970 1980 1990 1995 2000 2005 2010 2015 2020
(b) Find a power model and a quadratic model for the data. (Round all numerical values to four decimal places.)
power model
y(x) =
quadratic model y(x) =
(c) Which model from part (b) approximates more accurately the data point for 2020?
power model
quadratic model
(d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your answer to the nearest billion dollars.)
billion dollars
Transcribed Image Text:(b) Find a power model and a quadratic model for the data. (Round all numerical values to four decimal places.) power model y(x) = quadratic model y(x) = (c) Which model from part (b) approximates more accurately the data point for 2020? power model quadratic model (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your answer to the nearest billion dollars.) billion dollars
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