The Blood Alcohol Concentration (BAC) of a person who has been drinking can be a

Question

The Blood Alcohol Concentration (BAC) of a person who has been drinking can be approximated by the formula: BAC = (.075A/W)-0.015T, where A is the number of ounces of pure alcohol the person consumed(e.g., 16oz of beer that is 5% alcohol would be 0.8 ounces of alcohol), W is the person's body weight in pounds, and T is the number of hours since the person started drinking.

Suppose a policeman stops a 190 pound woman in two hours has ingested four 12-ounce beers, each having a 3.2 percent alcohol content. Find this BAC. What is the rate of change of BAC with respect to body weight (W) for this woman?

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Explanation / Answer

BAC =0-[ (.075A/W)-0.015T] = (0.075*4*12*0.032/190)-0.015*2

= 0.029

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