Problem 7: The table shows the amount of public medical expenditures (in billions of dollars) for worker's compensation, public assistance y, and Medicare = for selected years. 2 Year 1980 1985 5.1 8.0 28.0 44.4 37.5 72.2 NXX 1990 1995 1996 1997 14.1 16.1 17.1 15.2 80.5 151.6 159.7 165.2 111.5 185.2 200.1 214.6 A model of the data is given by = -0.775x2 +0.007y² +22.15-0.54y-45.4. (a) Complete a fourth row in the table using the model to approximate z for the given values of and y. Compare the approximations with the actual values.

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Author:James Stewart
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Chapter1: Functions And Models
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Problem 7:
The table shows the amount of public medical expenditures (in billions of
dollars) for worker's compensation, public assistance y, and Medicare = for
selected years.
Year
X
y
Z
1980 1985
1990 1995 1996 1997
5.1
15.2
14.1
8.0 16.1 17.1
44.4 80.5 151.6 159.7
28.0
165.2
37.5 72.2 111.5 185.2 200.1 214.6
A model of the data is given by = = -0.775x² +0.007y² +22.15-0.54y-45.4.
(a) Complete a fourth row in the table using the model to approximate z
for the given values of and y. Compare the approximations with the actual
values.
Transcribed Image Text:Problem 7: The table shows the amount of public medical expenditures (in billions of dollars) for worker's compensation, public assistance y, and Medicare = for selected years. Year X y Z 1980 1985 1990 1995 1996 1997 5.1 15.2 14.1 8.0 16.1 17.1 44.4 80.5 151.6 159.7 28.0 165.2 37.5 72.2 111.5 185.2 200.1 214.6 A model of the data is given by = = -0.775x² +0.007y² +22.15-0.54y-45.4. (a) Complete a fourth row in the table using the model to approximate z for the given values of and y. Compare the approximations with the actual values.
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