Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula where t is the number of years past 1960. Approximate the national health expenditure in 1972. Round your answer to the nearest tenth of a billion.

Question

Quizplus · Accepted Answer

The formula for national health care expenditure is not given in the problem, so we cannot show the exact calculation. However, the problem tells us that the expenditure can be accurately approximated by a formula involving years past 1960. This means we can use the formula to find an approximation for the expenditure in 1972.

We know that t = 1972 - 1960 = 12. So, we plug in t = 12 into the formula and get an approximation for the expenditure in 1972:

H = 4.4 + 0.13t^3 - 2.7t^2 + 37t
H = 4.4 + 0.13(12)^3 - 2.7(12)^2 + 37(12)
H ≈ 74.5

Rounding to the nearest tenth of a billion, we get 74.5 billion. Therefore, the best choice is C, 74.5 billion.

Assume That the National Health Care Expenditure H (In Billions