1. Applications of Exponential Functions of the Form y = ab* The half-life of a drug is an estimate of the period of time it takes for the concentration of the drug in the body to be reduced by exactly one half. Suppose the concentration C in mg/ml of a certain medication in terms of its half-life can be modeled by the function a. where A represents the initial dose of the medication in mg and t represents the number of hours since the initial dose. b. C. C(t) = A t 16 4 (1)³ If 20 mg of the medication was initially administered to a patient, what would be the concentration of the medication in 12 hours? Suppose the medication was administered 24 hours ago. If the concentration in the bloodstream is now 2 mg/ml, what was the initial dose? What does the function C(t) imply about the half-life of this particular medication? That is, how long will it take for the concentration of the drug to be cut in half?

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