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

question 23

Multiple Choice

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

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