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For a person that weighs 165 pounds, their BAC (Blood Alcohol Concentration) is given by the formula:

\[ \text{BAC} = \frac{600n}{165(0.6n+169)} \]

where \( n \) is the number of drinks per hour.

Calculate the BAC of a person who weighs 165 pounds if they drank 2 drinks per hour.

BAC = _________

Answer :

Final answer:

Using the given formula, a person weighing 165 pounds who drinks 2 drinks per hour would have a BAC of 29283. Remember, this doesn't account for individual metabolic differences.

Explanation:

The question asks for the calculation of BAC (Blood Alcohol Concentration) for a person who weighs 165 pounds and has consumed 2 drinks in an hour. The given formula for this is BAC = 600n + 165(0.6n+169), where n represents the number of drinks per hour. When n is 2, the formula becomes BAC = 600*2 + 165*(0.6*2+169).

Calculating this, we first solve the equation inside the parentheses, which gives us 1.2 + 169 = 170.2. Then, multiplying 165 by this gives us 28083. Finally, adding this to 600*2 (or 1200), gives us a BAC of 29283.

Therefore, a person weighing 165 pounds who drinks 2 drinks per hour would have a BAC of 29283. Keep in mind, this is a simplified model and does not account for individual metabolic differences or the fact that women metabolize alcohol more slowly than men, as indicated in the supplementary information provided.

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