The concentration $x$ of a certain drug in an organ after $t$ minutes is given by $x = 0.03 \left( 1 - e ^ { - 0.1 t } \right)$. Find the initial concentration of the drug when $t = 0$.
A) $\quad 0.00$
B) $\quad 0.06$
C) $\quad 0.08$
D) $\quad 1.00$
E) $\quad 0.03$

Question

Quizplus · Accepted Answer

When $t=0$, we have $x = 0.03(1-e^{-0.1\times 0})=0.03(1-e^0)=0.03(1-1\times 0)=0.03\times 0=0$ which corresponds to option A. However, this is not a possible initial concentration since the drug must have some concentration initially. Thus, we need to choose the next value which is $0.03$ which corresponds to option E.

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

The Concentration $x$ Of a Certain Drug in an Organ After $t$