Question 1101934: A state’s population as a function of time t (in years) is given by
P(t) = 44,178,000 + 78,000t
and its health care costs are given by
C(t) = 47,863,000 + 430,500t + 178t^2
a. Create the function representing the state’s per capita health care costs (i.e., the average
cost per citizen).
b. Find the average rate of change in the per capita health care cost from year 5 to year 11.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A state’s population as a function of time t (in years) is given by
P(t) = 44,178,000 + 78,000t
and its health care costs are given by
C(t) = 47,863,000 + 430,500t + 178t^2
a. Create the function representing the state’s per capita health care costs (i.e., the average cost per citizen).
Ans:: C(t)/P(t)
b. Find the average rate of change in the per capita health care cost from year 5 to year 11.
Ans:: [C(11)-C(5)]/[11-5]
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Cheers,
Stan H.
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