After an injection, the amount of a medication A in the bloodstream decreases with time t, in hours. Suppose that under certain conditions A is given b $A ( t ) = \frac { A _ { 0 } } { t ^ { 2 } + 1 }$ , where Ao is the initial amount of the medication
Given. Assume that an initial amount of 25.0 cc is injected. According to this function, does the medication ever
Completely leave the bloodstream?
A) No
B) Yes

Question

Quizplus · Accepted Answer

The function $A(t) = \frac{25}{t^2 + 1}$ approaches 0 as t approaches infinity, but it never actually reaches 0. This means the medication amount decreases over time but never completely leaves the bloodstream.

After an Injection, the Amount of a Medication a in the Bloodstream