SOLUTION: The rational function M(t) = (0.5t+400)/(0.04t^2+1) models the number of milligrams of medication in the bloodstream of a patient t hours after 400 milligrams of the medication hav
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-> SOLUTION: The rational function M(t) = (0.5t+400)/(0.04t^2+1) models the number of milligrams of medication in the bloodstream of a patient t hours after 400 milligrams of the medication hav
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Question 261288: The rational function M(t) = (0.5t+400)/(0.04t^2+1) models the number of milligrams of medication in the bloodstream of a patient t hours after 400 milligrams of the medication have been injected into the patient’s bloodstream.
(a) Find M(5) and M(10). Round to the nearest milligram.
(b) What will M approach as t = ∞ ?
You can put this solution on YOUR website! The rational function M(t) = (0.5t+400)/(0.04t^2+1) models the number of milligrams of medication in the bloodstream of a patient t hours after 400 milligrams of the medication have been injected into the patient’s bloodstream.
(a) Find M(5) and M(10). Round to the nearest milligram.
M(t) = (0.5t+400)/(0.04t^2+1)
M(5) = 201.25
M(10) = 81
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(b) What will M approach as t = ∞ ?
Since t^2 is in the denominator and only t in the numerator
the fraction will approach zero as t goes to infinity.
That is the horizontal asymptote.
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Cheers,
Stan H.
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