The concentration C of a drug in a patient's bloodstream t hours after injection (for the first 24 hours) is given by C(t)= 100t

Question

The concentration C of a drug in a patient's bloodstream t hours after injection (for the first 24 hours) is given by C(t)= 100t /2t² + 75 nanograms per millileter (ng/mL). Round your answers to the nearest hundredth ng/mL or hundredth of an hour.
(a) What is the concentration after 1 hour?
(b) About how many hours will it take for the drug to fall below 2 ng/mL in the patient's bloodstream?
(c) How long is the drug above 2 ng/mL in the patient's bloodstream?

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