For this exercise, round all regression para O 10 20 30 40 The following table shows national health care costs, measured in billions of dollars. Date 1970 1980 1990 2000 2010 Costs in billions 75 253 O 2500 (a) Plot the data. (Let t be years since 1970 and H the costs in billions of dollars.) H 2000 1500 1353 714 1000 500 2500 2000 1500 1000 500 H 2570 10 10 20 20 30 30 40 40 H 2500 2000 1500 1000 O 500 94. H 2500 2000 1500 1000 500 10 10 20 20 30 30 40 40 (b) Find an exponential function that approximates the data for health care costs. (Let t be years since 1970 and H the costs in billions of dollars.) OH = 993.002 × 1.002 OH= 72.438 x 1.143 OH = 2560.371 x 0.872 H = 94.414 x 1.091¹ OH= 3120.372 x 0.916 Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.) billion dollars ---ind from 1970 through 2010? (Use the model found in part (d) Use functional notation to express how much money was spent on health care in the year 2012. (Let t be years since 1970.) 94.414 9.12

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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K
For this exercise, round all regression
20
0 10
30 40
The following table shows national health care costs, measured in billions of dollars.
Date
1970
1980
1990
2000
2010
Costs in
billions
75
253
O
H
(a) Plot the data. (Let t be years since 1970 and H the costs in billions of dollars.)
2500
2000
714
1500
1000
500
2500
2000
1500
1000
500
1353 2570
H
10
10
H = 94.414 x 1.091
OH = 3120.372 × 0.916*
20
20
30
30
40
40
H
2500
2000
1500
1000
O
500
94.
H
2500
2000
1500
1000
500
10
10
20
20
30
30
40
40
(b) Find an exponential function that approximates the data for health care costs. (Let t be years since 1970 and H the costs in billions of dollars.)
OH = 993.002 × 1.002
OH = 72.438 × 1.143t
OH = 2560.371 × 0.872
Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.)
billion dollars
t
ind from 1970 through 2010? (Use the model found in part
(d) Use functional notation to express how much money was spent on health care in the year 2012. (Let t be years since 1970.)
94.414.9.1"
Transcribed Image Text:K For this exercise, round all regression 20 0 10 30 40 The following table shows national health care costs, measured in billions of dollars. Date 1970 1980 1990 2000 2010 Costs in billions 75 253 O H (a) Plot the data. (Let t be years since 1970 and H the costs in billions of dollars.) 2500 2000 714 1500 1000 500 2500 2000 1500 1000 500 1353 2570 H 10 10 H = 94.414 x 1.091 OH = 3120.372 × 0.916* 20 20 30 30 40 40 H 2500 2000 1500 1000 O 500 94. H 2500 2000 1500 1000 500 10 10 20 20 30 30 40 40 (b) Find an exponential function that approximates the data for health care costs. (Let t be years since 1970 and H the costs in billions of dollars.) OH = 993.002 × 1.002 OH = 72.438 × 1.143t OH = 2560.371 × 0.872 Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.) billion dollars t ind from 1970 through 2010? (Use the model found in part (d) Use functional notation to express how much money was spent on health care in the year 2012. (Let t be years since 1970.) 94.414.9.1"
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