Solve the problem.The amount of money, in billions of dollars, spent on health care that was covered by insurance in a certain country in a particular year can be approximated by the function  where x represents the number of years after 1995. The amount of money, in billions of dollars, spent on health care that was paid out of pocket in a certain country in a particular year can be approximated by the function  where again x represents the number of years after 1995. (i) Find (f - g)(x). Explain, in your own words, what this function represents.(ii) Find (f -

g)(55). Explain, in your own words, what this number represents.

A. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995.
(ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 higher than health-care costs that are paid out of pocket in 2050.
B. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995.
(ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 less than health-care costs that are paid out of pocket in 2050.
C. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995.
(ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 higher than health-care costs that are paid out of pocket in 2050.
D. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995.
(ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 less than health-care costs that are paid out of pocket in 2050.


Answer: A

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