The table shows the national expenditures for health care (in billions of dollars) for selected years from 2002 and projected to 2024. (These data include expenditures for medical research and medical facilities construction.) Year Expenditures 1601 Expenditures O Year 2002 2014 3081 2004 2006 1856 2114 2016 3403 2018 2020 3786 Complete parts (a) through (c) below. 4274 4826 5425 2008 2414 2010 2605 2022 2012 2818 2024 ..... a. Find a linear function that models the data, with x equal to the number of years after 2000 and y equal to the expenditures for health care in billions of dollars. Report the model with 3 significant digits. b. What does the reported model predict the expenditures will be in 2030? billion (Use the answer from a to find this answer.) c. During what year does the reported model predict that the national expenditures for health care will be $7906 billion? The reported model predicts that the national expenditures for health care will be $7906 billion in the year. (Use the answer from a to find this answer.)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The table shows the national expenditures for health care (in billions of dollars) for selected years from 2002 and projected to 2024. (These data include expenditures for medical research and medical facilities construction.)

Complete parts (a) through (c) below.

**Table: National Expenditures for Health Care**

| Year | Expenditures (in billions) | Year | Expenditures (in billions) |
|------|-----------------------------|------|-----------------------------|
| 2002 | 1601                        | 2014 | 3081                        |
| 2004 | 1856                        | 2016 | 3403                        |
| 2006 | 2114                        | 2018 | 3786                        |
| 2008 | 2414                        | 2020 | 4274                        |
| 2010 | 2605                        | 2022 | 4826                        |
| 2012 | 2818                        | 2024 | 5425                        |

**Tasks:**

a. Find a linear function that models the data, with \( x \) equal to the number of years after 2000 and \( y \) equal to the expenditures for health care in billions of dollars. Report the model with 3 significant digits.

   \( y = \_\_ x + \_\_ \)

b. What does the reported model predict the expenditures will be in 2030?

   \$\_\_ billion (Use the answer from a to find this answer.)

c. During what year does the reported model predict that the national expenditures for health care will be \$7906 billion?

   The reported model predicts that the national expenditures for health care will be \$7906 billion in the year \_\_. (Use the answer from a to find this answer.)
Transcribed Image Text:The table shows the national expenditures for health care (in billions of dollars) for selected years from 2002 and projected to 2024. (These data include expenditures for medical research and medical facilities construction.) Complete parts (a) through (c) below. **Table: National Expenditures for Health Care** | Year | Expenditures (in billions) | Year | Expenditures (in billions) | |------|-----------------------------|------|-----------------------------| | 2002 | 1601 | 2014 | 3081 | | 2004 | 1856 | 2016 | 3403 | | 2006 | 2114 | 2018 | 3786 | | 2008 | 2414 | 2020 | 4274 | | 2010 | 2605 | 2022 | 4826 | | 2012 | 2818 | 2024 | 5425 | **Tasks:** a. Find a linear function that models the data, with \( x \) equal to the number of years after 2000 and \( y \) equal to the expenditures for health care in billions of dollars. Report the model with 3 significant digits. \( y = \_\_ x + \_\_ \) b. What does the reported model predict the expenditures will be in 2030? \$\_\_ billion (Use the answer from a to find this answer.) c. During what year does the reported model predict that the national expenditures for health care will be \$7906 billion? The reported model predicts that the national expenditures for health care will be \$7906 billion in the year \_\_. (Use the answer from a to find this answer.)
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