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The blood alcohol content (\(BAC\)) of a male's blood is given by the formula;
\(BAC_{\text{male}}=\dfrac{10N - 7.5H}{6.8M}\) , where
\(N\) is the number of standard drinks consumed,
\(H\) is the number of hours drinking and
\(M\) is the person's mass in kgs.
Calculate the \(BAC\) of a male who consumed 5 standard drinks in 2.5 hours and weighs 72 kgs, correct to 2 decimal places.
Blood alcohol content of males can be calculated using the following formula
\(BAC_{\text{Male}} = \dfrac{10N-7.5H}{6.8M}\)
where \(N\) is the number of standard drinks consumed
\(H\) is the number of hours drinking
\(M\) is the person's mass in kilograms
What is the maximum number of standard drinks that Jacko, who has a mass of 75 kg, can consume over 5 hours in order to maintain a blood alcohol content (\(BAC\)) of less than 0.05? (3 marks)
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The number of ‘standard drinks’ in various glasses of wine is shown.
| Number of standard drinks | |||
| White Wine | Red Wine | ||
| small glass | large glass | small glass | large glass |
| 0.9 | 1.4 | 1.0 | 1.5 |
A woman weighing 58 kg drinks two small glasses of white wine and three small glasses of red wine between 7 pm and 11 pm.
Using the formula for calculating blood alcohol below, what would be her blood alcohol content (\(BAC\)) estimate at 11 pm, correct to three decimal places?
\(BAC_{\text{Female}}=\dfrac{10N-7.5H}{5.5M}\)
where \(N\) is the number of standard drinks consumed
\(H\) is the number of hours drinking
\(M\) is the person's mass in kilograms
Anika drinks two small bottles of wine over a four-hour period. Each of these bottles contains 2.4 standard drinks. Anika weighs 55 kg.
Using the formula below, what is Anika's approximate blood alcohol content (\(BAC\)) at the end of this period?
\(BAC_{\text{Female}}=\dfrac{10N - 7.5H}{5.5M}\)
where \(N\) is the number of standard drinks consumed
\(H\) is the number of hours drinking
\(M\) is the person's mass in kilograms
Bryce is drinking low alcohol beer at a party over a four-hour period. He reads on the label of the low alcohol beer bottle that it is equivalent to 0.8 standard drinks.
Bryce weighs 85 kg.
The formula below can be used to calculate a male's blood alcohol content.
\(BAC_{\text{Male}}=\dfrac{10N-7.5H}{6.8M}\)
where \(N\) is the number of standard drinks consumed
\(H\) is the number of hours drinking
\(M\) is the person's mass in kilograms
What is the maximum number of complete bottles of the low alcohol beer Bryce can drink to remain under a Blood Alcohol Content (\(BAC\)) of 0.05? (4 marks)
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The formula below is used to calculate an estimate for blood alcohol content \((BAC)\) for females.
\(BAC_{\text{female}}=\dfrac{10N - 7.5H}{5.5M}\)
The number of hours required for a person to reach zero \(BAC\) after they stop consuming alcohol is given by the following formula.
\(\text{Time}=\dfrac{BAC}{0.015}\)
The number of standard drinks in a glass of wine and a glass of spirits is shown.
Georgie weighs 58 kg. She consumed 2 glasses of wine and 4 glasses of spirits between 7:45 pm and 12:15 am the following day. She then stopped drinking alcohol.
Using the given formulae, calculate the time in the morning when Georgie's \(BAC\) should reach zero. (4 marks)
The following formula can be used to calculate an estimate for blood alcohol content (\(BAC\)) for males. \(BAC_{\text{male}}=\dfrac{10N-7.5H}{6.8M}\) \(N\) is the number of standard drinks consumed \(M\) is the person's weight in kilograms \(H\) is the number of hours of drinking Min weighs 70 kg. His \(BAC\) was zero when he began drinking alcohol. At 10:30 pm, after consuming 4 standard drinks, his \(BAC\) was 0.032. Using the formula, estimate at what time Min began drinking alcohol, to the nearest minute. (4 marks) --- 8 WORK AREA LINES (style=lined) ---
When Stuart stops drinking alcohol at 11:30 pm, he has a blood alcohol content (BAC) of 0.08625.
The number of hours required for a person to reach zero BAC after they stop consuming alcohol is given by the formula:
\(\text{Time}=\dfrac{BAC}{0.015}\).
At what time on the next day should Stuart expect his BAC to be 0.05?