Science:Math Exam Resources/Courses/MATH110/December 2015/Question 07 (c)/Statement

An exponential decay function $P(t)=Ce^{-kt}$, where $C$ and $k$ are positive constants, is used to model the amount of drug in the blood t hours after an initial dose is administered.

Suppose an initial dose of 100 mg is administered to a patient. Assume it takes 36 hr for the body to eliminate half of the initial dose from the blood stream. Answer the questions below. You may leave your answers unsimplified, i.e. in ”calculator-ready” form.

(c) If a second 100-mg dose is given 36 hr after the first dose, how much time (since the first dose) is required for the drug-level in the blood stream to reach 1 mg?