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The Amount of Alcohol in the Bloodstream, A, Declines at a Rate

Question 66

Multiple Choice

The amount of alcohol in the bloodstream, A, declines at a rate proportional to the amount, that is, dAdt=kA\frac { \mathrm { dA } } { \mathrm { dt } } = - \mathrm { kA } .
If k=0.6\mathrm { k } = 0.6 for a particular person, how long will it take for his alcohol concentration to decrease from 0.10%0.10 \% to 0.05%0.05 \% ? Give your answer to the nearest tenth of an hour.


A) 0.4 hr
B) 2.3 hr
C) 1.7 hr
D) 1.2 hr

Correct Answer:

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