Provide an appropriate response.
-A certain drug is eliminated from the bloodstream exponentially with a half-life of 24 hours. Suppose that a patient receives an initial dose of 15 milligrams of the drug at midnight. How much
Of the drug is in the patient's blood at noon the next day?
A)10.61 mg
B)3.75 mg
C)5.3 mg
D)0.71 mg

Question

Quizplus · Accepted Answer

The drug's concentration decreases exponentially, and its half-life is 24 hours, meaning the amount halves every 24 hours. At noon the next day, 12 hours have passed, which is half of the half-life. Therefore, the amount of drug is reduced to $15 \times \frac{1}{2}^{(12/24)} = 15 \times \frac{1}{2}^{0.5} = 15 \times \frac{1}{\sqrt{2}} \approx 10.61$ mg.

Provide an Appropriate Response