When does the rate of change of health care costs

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Per capita health care costs

For the years from 2000 and projected to 2018, the U.S. per capita out-of-pocket cost for health care C (in dollars) can be modeled by the function

C(t) = 0.118t3 - 2.51t2 + 40.2t + 677

where t is the number of years past 2000 (Source: U.S. Centers for Medicare and Medicaid Services).

(a) When does the rate of change of health care costs per capita reach its minimum?

(b) On a graph of C(t), what feature occurs at the t-value found in part (a)?

Reference no: EM131793717

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