The concentration $x$ of a certain drug in an organ after $t$ minutes is given by $x = 0.08 \left( 1 - e ^ { - 0.1 t } \right)$. Find the initial concentration of the drug when $t = 0$.
A)0.16
B)0.00
C)0.08
D)1.00
E)0.22

Question

The concentration $x$ of a certain drug in an organ after $t$ minutes is given by $x = 0.08 \left( 1 - e ^ { - 0.1 t } \right)$. Find the initial concentration of the drug when $t = 0$.
A)0.16
B)0.00
C)0.08
D)1.00
E)0.22
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Quizplus · Accepted Answer

When $t=0$, we have:
$$x=0.08\left(1-e^{-0.1(0)}\right)=0.08(1-e^0)=0.08\times0=0$$
Therefore, the initial concentration of the drug when $t=0$ is $0.08\times0 =0$, so the answer is (B). However, answer choice (B) is not an option in the given list, so the closest option would be (C), which is 0.08.

The Concentration xxx Of a Certain Drug in an Organ After ttt

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