a man who weighs approximately 140 pounds has two,12 ounce beers and one 1 1/2 oz. shots of liquor in one hour. what is his estimated BAC?

Respuesta :

The correct answer is:

0.08.

Explanation:

To calculate the BAC, we first find the amount of alcohol (in grams) of the drinks.  In the US, a standard drink has 14 g of alcohol.  The man has 2 beers and 1 shot; this is 3 standard drinks:
3*14 = 42

This has 42 g of alcohol.

Next we convert the weight in pounds to grams.  We do this by multiplying by 454:
140*454 = 63560

Next we multiply by the gender constant.  For men, this is 0.68:
63560(0.68) = 43220.8

We divide the grams of alcohol by this number:
42/43220.8 = 0.000972

Multiply this by 100:
0.000972(100) = 0.0972

This is the BAC right after drinking.  To account for the time that has passed, we multiply the number of hours by 0.015:
1(0.015) = 0.015

We subtract this from our immediate BAC:
0.0972-0.015 = 0.0822 ≈ 0.08

The individual's BAC is 0.11 grams of blood alcohol.

Calculus

Given that a man who weighs approximately 140 pounds has two 12 ounce beers and one 1 1/2 oz shots of liquor in one hour, to determine what is his estimated BAC, the following calculation must be performed:

  • Taking a 40% proof liquor and a 5% proof beer, each shot of liquor will have 0.6 oz of alcohol (1.5 x 0.4) and each beer will have 0.6 oz of alcohol (12 x 0.05).
  • Thus, the man consumed 1.8 oz of alcohol (0.6 x 3).

  • 1.8 oz = 51 grams
  • The gender constant for male is 0.68
  • 140 pounds = 63560 grams

  • Grams of alcohol / (Weight x gender constant) = X
  • 51 / (63560 x 0.68) = X
  • 51 / 43,220.8 = X
  • 0.0011 = X
  • X x 100 = 0.11

Therefore, the individual's BAC is 0.11 grams of blood alcohol.

Learn more about calculus in https://brainly.com/question/13531397

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