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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

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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) 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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