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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
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) Year 1960 $28 1970 75 1980 254 1990 714 1995 1017 2000 1353 1981 2954 2005 2010 2015 2020 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 100 80 60 40 20 x 1000 2000 3000 4000 5000 5000 4000 3000 2000 1000 y x 500 1000 1500 2000 (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)= 5000 4000 3000 2000 1000 X 20 40 60 80 100 (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 2025 expenditures for national health care. (Round your answer to the nearest billion dollars.) billion dollars y 200 150 100 50 x 20 40 60 80 100
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