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 9 hours?
A)0.9%
B)15.4%
C)0.1%
D)6.7%
E)5.4%

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 9 hours? 
A)0.9%
B)15.4%
C)0.1%
D)6.7%
E)5.4%
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Quizplus · Accepted Answer

The percent remaining after 9 hours is $P = e ^ { - 0.3 (9) } = e ^ { - 2.7 } \approx 0.067 = 6.7\%$.

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