Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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)
1960
$28
1970
75
1980
254
1990
714
IT
1995
1017
2000
1353
2005
1981
2010
2954
2015
3308
4487
(a) Use a scatter plot with x as the number of years past 1950 and y as the total expenditures for health care (in billions) to identify what type (or types) of function(s) would make a good model for these data.
y
200
150
100
50
Year
2020
20
40
60
y
5000
4000
U
3000
2000
1000
500
1000
80
1500
X
100
2000
X
y
y
5000
4000
PIZ
3000
2000
1000
X
3000 4000 5000
Q
100
80
60
40
20
1000
2000
20
40
60
80
100
X
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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) 1960 $28 1970 75 1980 254 1990 714 IT 1995 1017 2000 1353 2005 1981 2010 2954 2015 3308 4487 (a) Use a scatter plot with x as the number of years past 1950 and y as the total expenditures for health care (in billions) to identify what type (or types) of function(s) would make a good model for these data. y 200 150 100 50 Year 2020 20 40 60 y 5000 4000 U 3000 2000 1000 500 1000 80 1500 X 100 2000 X y y 5000 4000 PIZ 3000 2000 1000 X 3000 4000 5000 Q 100 80 60 40 20 1000 2000 20 40 60 80 100 X
(b) Find a power model and a quadratic model for the data. (Round all numerical values to four decimal places.)
y(x) =
power model
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
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Transcribed Image Text:(b) Find a power model and a quadratic model for the data. (Round all numerical values to four decimal places.) y(x) = power model 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
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