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The following table shows national health care costs, measured in billions of dollars. 1970 1980 1990 2000 2010 75 253 714 1353 2570 Date Costs in billions (a) Plot the data. (Lett be years since 1970 and H the costs in billions of dollars.) H H 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 OH = 3120.372 * 0.916 OH= 72.438 x 1.143 OH= 993.002 × 1.002 OH = 2560.371 x 0.872¹ 20 30 30 40 40 t 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 20 30 30 40 Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.) billion dollars t (b) Find an exponential function that approximates the data for health care costs. (Lett be years since 1970 and H the costs in billions of dollars.) OH 94.414 x 1.091 ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ t 40 (c) By what percent per year were national health care costs increasing during the period from 1970 through 2010? (Use the model found in part (b). Round your answer to one decimal place.) 1% (d) Use functional notation to express how much money was spent on health care in the year 2014. (Lett be years since 1970.)

The following table shows national health care costs, measured in billions of dollars. 1970 1980 1990 2000 2010 75 253 714 1353 2570 Date Costs in billions (a) Plot the data. (Lett be years since 1970 and H the costs in billions of dollars.) H H 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 OH = 3120.372 * 0.916 OH= 72.438 x 1.143 OH= 993.002 × 1.002 OH = 2560.371 x 0.872¹ 20 30 30 40 40 t 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 20 30 30 40 Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.) billion dollars t (b) Find an exponential function that approximates the data for health care costs. (Lett be years since 1970 and H the costs in billions of dollars.) OH 94.414 x 1.091 ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ t 40 (c) By what percent per year were national health care costs increasing during the period from 1970 through 2010? (Use the model found in part (b). Round your answer to one decimal place.) 1% (d) Use functional notation to express how much money was spent on health care in the year 2014. (Lett be years since 1970.)

Advanced Engineering Mathematics
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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The following table shows national health care costs, measured in billions of dollars. 1980 1990 2000 2010 1970 75 253 714 1353 2570 Date Costs in billions (a) Plot the data. (Lett be years since 1970 and H the costs in billions of dollars.) H H 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 20 30 30 40 40 t t 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 20 30 30 40 Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.) billion dollars 40 t (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 94.414 x 1.091¹ OH = 3120.372 x 0.916* H = 72.438 x 1.143 H = 993.002 * 1.002 OH = 2560.371 x 0.872² (c) By what percent per year were national health care costs increasing during the period from 1970 through 2010? (Use the model found in part (b). Round your answer to one decimal place.) 1% (d) Use functional notation to express how much money was spent on health care in the year 2014. (Lett be years since 1970.) H(D
Transcribed Image Text:The following table shows national health care costs, measured in billions of dollars. 1980 1990 2000 2010 1970 75 253 714 1353 2570 Date Costs in billions (a) Plot the data. (Lett be years since 1970 and H the costs in billions of dollars.) H H 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 20 30 30 40 40 t t 2500 2000 1500 1000 O 500 H 2500 2000 1500 O 1000 500 10 10 20 20 30 30 40 Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.) billion dollars 40 t (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 94.414 x 1.091¹ OH = 3120.372 x 0.916* H = 72.438 x 1.143 H = 993.002 * 1.002 OH = 2560.371 x 0.872² (c) By what percent per year were national health care costs increasing during the period from 1970 through 2010? (Use the model found in part (b). Round your answer to one decimal place.) 1% (d) Use functional notation to express how much money was spent on health care in the year 2014. (Lett be years since 1970.) H(D
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