In one individual, the percent alcohol level $t$ minutes after two shots of whiskey is given by $P = 0.3 ( 1 -$ $e ^ { - 0.05 t }$ ). Find the blood alcohol level after 29 minutes.
A) $\quad 0.370 \%$
B) $\quad 0.285 \%$
C) $\quad 0.230 \%$
D) $\quad 0.070 \%$
E) $\quad 0.118 \%$

Question

Quizplus · Accepted Answer

We are given the function $P = 0.3 (1-e^{-0.05t})$ for the percent alcohol level after $t$ minutes. To find the blood alcohol level after 29 minutes, we simply substitute $t=29$ into the equation:
\begin{align*}
P &= 0.3 (1-e^{-0.05(29)}) \
&\approx 0.230\%
\end{align*}
Rounding to three decimal places, the blood alcohol level after 29 minutes is approximately 0.230\%, which corresponds to choice (C).

In One Individual, the Percent Alcohol Level ttt Minutes After Two Shots of Whiskey Is Given By

In One Individual, the Percent Alcohol Level $t$ Minutes After Two Shots of Whiskey Is Given By