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 2005. 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 2005. (i) Find (f - g)(x). Explain, in your own words, what this function represents.(ii) Find (f -
g)(60). Explain, in your own words, what this number represents.
A. (i) (f - g)(x) = x2 + 5x + 130; 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 2005.
(ii) 4030; health-care costs covered by insurance will be $4,030,000,000,000 higher than health-care costs that are paid out of pocket in 2065.
B. (i) (f - g)(x) = x2 + 5x + 130; 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 2005.
(ii) 4030; health-care costs covered by insurance will be $4,030,000,000,000 less than health-care costs that are paid out of pocket in 2065.
C. (i) (f - g)(x) = x2 - 23x - 428; 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 2005.
(ii) 1792; health-care costs covered by insurance will be $1,792,000,000,000 higher than health-care costs that are paid out of pocket in 2065.
D. (i) (f - g)(x) = x2 - 23x - 428; 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 2005.
(ii) 1792; health-care costs covered by insurance will be $1,792,000,000,000 less than health-care costs that are paid out of pocket in 2065.
Answer: A
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