Concept explainers
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 S billions). (Source: U.S. Centers for Medicare & Medicaid Services, www.census.gov)
I = 45.58 x + 460.1 Total spent on health insurance premiums x years since 2000.
P = 10.86 x + 191.5 Other out-of-pocket health-related expenses x years since 2000.
Use these models for Exercises 55–58.
a. Write and simplify the polynomial representing I + P.
b. Interpret the meaning of the polynomial from part (a).
c. Evaluate the polynomial I + P for x = 6, and interpret the meaning of this value.
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