Solve the Problem $\mathrm { A }$ , Declines at a Rate Proportional to the Amount, That

question 166

Multiple Choice

Solve the problem.
-The amount of alcohol in the bloodstream, $\mathrm { A }$ , declines at a rate proportional to the amount, that is, $\frac { \mathrm { dA } } { \mathrm { dt } } = - \mathrm { kA }$ . If $\mathrm { k } = 0.5$ 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) 2.8 hr
• B) 0.3 hr
• C) 2.1 hr
• D) 1.4 hr

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Definitions:

Psychotherapy

A treatment method involving psychological techniques designed to assist individuals in overcoming difficulties or achieving personal insight.

Church Doctrine

Official teachings and beliefs sanctioned by a religious institution, particularly within Christianity.

Possession

The state of having, owning, or controlling something, or in some contexts, a state in which a person is believed to be influenced or controlled by an external entity.

Nervous Breakdown

A non-medical term that signifies a period of intense mental distress, where an individual is unable to function normally in everyday life.