The table shows the national expenditures for health care in the United States for selected years, with projections to 2020. National Expenditures Care (billions) for Health $28 75 254 714 T 1017 1353 1981 2954 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. KEIZ 60 1000 2000 3000 4000 5000 y 200 150 100 50 y 5000 4000 3000 O 2000 1000 Year 1960 1970 1980 1990 1995 2000 2005 2010 2015 2020 20 500 40 1000 60 80 1500 100 2000 Q y 100 80 40 20 5000 4000 3000 2000 1000 20 40 60 80 100 Q
The table shows the national expenditures for health care in the United States for selected years, with projections to 2020. National Expenditures Care (billions) for Health $28 75 254 714 T 1017 1353 1981 2954 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. KEIZ 60 1000 2000 3000 4000 5000 y 200 150 100 50 y 5000 4000 3000 O 2000 1000 Year 1960 1970 1980 1990 1995 2000 2005 2010 2015 2020 20 500 40 1000 60 80 1500 100 2000 Q y 100 80 40 20 5000 4000 3000 2000 1000 20 40 60 80 100 Q
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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