The percent $P$ of the drug triazolam (a drug for treating insomnia) remaining in a person's bloodstream after $t$ hours is given by $P = e ^ { - 0.3 t }$. What percent will remain in the bloodstream after 6 hours?
A)0.2%
B)16.5%
C)28.7%
D)0.8%
E)3.6%

Question

The percent $P$ of the drug triazolam (a drug for treating insomnia) remaining in a person's bloodstream after $t$ hours is given by $P = e ^ { - 0.3 t }$. What percent will remain in the bloodstream after 6 hours?
A)0.2%
B)16.5%
C)28.7%
D)0.8%
E)3.6%
​

Quizplus · Accepted Answer

To find the percent of the drug remaining after 6 hours, substitute $t = 6$ into the given equation: $P = e^{-0.3 \times 6} = e^{-1.8}$. Calculating $e^{-1.8}$ gives approximately 0.165, or 16.5% when converted to a percentage.

The Percent PPP Of the Drug Triazolam (A Drug for Treating Insomnia) Remaining

The Percent $P$ Of the Drug Triazolam (A Drug for Treating Insomnia) Remaining