Chapter R.5, Problem 58PE

Mixed Exercises

The total national expenditure for health care has been increasing since the year 2000. For privately insured individuals in the United States, the following models give the total amount spent for health insurance premiums I (in $ billions) and the total amount spent on other out-of-pocket health-related expenses P (in $ billions). (Source: U.S. Centers for Medicare & Medicaid Services, www.census.gov)

$\begin{array}{rr}\hfill I=45.58x\text{}+460.1& \hfill \text{Total}\text{spent on health insurance premiums x years since 2000}\text{.}\\ \hfill P=10.86+191.5& \hfill \text{Other out-of-pocket health-related expenses x years since 2000}\text{.}\end{array}$

Use these models for Exercises 55-58.

a. Determine the total expenditure for private health insurance premiums for the year 2010. b. Determine the total expenditure for other health-related out-of-pocket expenses for the year 2010. c. Evaluate the polynomial $I+P$ found in Exercise 57(a) for $x=10$.