Calculate the of a male who consumed 4 standard drinks in 3.5 hours and weighs 68 kgs,
correct to 2 decimal places.

To calculate the Blood Alcohol Content (BAC) of a male who consumed alcohol, we can use the Widmark formula:

\[
BAC = \frac{{\text{{Alcohol Consumed (grams)}}}}{{\text{{Body Water (grams)}}}} \times 100
\]

Where:
- **Alcohol Consumed (grams)**: This can be calculated as the number of drinks multiplied by the amount of alcohol per drink.
- **Body Water (grams)}**: Calculated using the person's weight and gender.

The simplified Widmark formula for BAC is:

\[
BAC = \frac{{0.806 \times \text{{Drinks}} \times 1.2}}{{\text{{Body Weight (kg)}} \times r}} - 0.017 \times \text{{Hours}}
\]

Where:
- \( 0.806 \) is the body factor.
- \( 1.2 \) is the grams of alcohol per drink.
- \( \text{{Body Weight}} \) is the person's weight in kilograms.
- \( r \) is the alcohol distribution ratio, which is 0.68 for men.
- \( \text{{Hours}} \) is the time since the consumption of alcohol began.
- \( 0.017 \) is the average rate at which alcohol is eliminated from the body per hour.

### Given dataTo calculate the Blood Alcohol Content (BAC) of a male who consumed alcohol, we can use the Widmark formula:

\[
BAC = \frac{{\text{{Alcohol Consumed (grams)}}}}{{\text{{Body Water (grams)}}}} \times 100
\]

Where:
- **Alcohol Consumed (grams)**: This can be calculated as the number of drinks multiplied by the amount of alcohol per drink.
- **Body Water (grams)}**: Calculated using the person's weight and gender.

The simplified Widmark formula for BAC is:

\[
BAC = \frac{{0.806 \times \text{{Drinks}} \times 1.2}}{{\text{{Body Weight (kg)}} \times r}} - 0.017 \times \text{{Hours}}
\]

Where:
- \( 0.806 \) is the body factor.
- \( 1.2 \) is the grams of alcohol per drink.
- \( \text{{Body Weight}} \) is the person's weight in kilograms.
- \( r \) is the alcohol distribution ratio, which is 0.68 for men.
- \( \text{{Hours}} \) is the time since the consumption of alcohol began.
- \( 0.017 \) is the average rate at which alcohol is eliminated from the body per hour.

### Given 
- Number of drinks = 4
- Time = 3.5 hours
- Weight = 68 kg

Let’s calculate the BAC.

\[
BAC = \frac{{0.806 \times 4 \times 1.2}}{{68 \times 0.68}} - 0.017 \times 3.5
\] 

Let me compute this.The Blood Alcohol Content (BAC) for a male who consumed 4 standard drinks in 3.5 hours and weighs 68 kg is **0.02** (correct to two decimal places).

Do you want any further details or have questions?

Here are some related questions:
1. How does body weight affect BAC levels?
2. How would BAC change if the person drank over a shorter or longer period?
3. What is the legal BAC limit in different countries?
4. How does the body metabolize alcohol over time?
5. What factors other than weight and time can influence BAC?

**Tip:** Drinking water and eating food can slow alcohol absorption, slightly reducing BAC.

Calculate the BAC of a male who consumed 4 standard drinks in 3.5 hours and weighs 68 kgs, correct to 2 decimal places.

Learn how to calculate the Blood Alcohol Content (BAC) for a male who consumed 4 standard drinks in 3.5 hours and weighs 68 kg. This problem demonstrates the use of the Widmark formula, including alcohol metabolism concepts. Suitable for high school students.

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