BAC

[Admin]

#13893

Blood Alcohol Content – BAC

$$BA{C_{Male}} = \frac{{10N – 7.5H}}{{6.8M}}$$

N = number of drinks H = hours drinking M = Mass in kg

$$BA{C_{Female}} = \frac{{(10N – 7.5H)}}{{5.5M}}$$

Limitations on estimating BAC include food, medication interactions, errors in estimating the number of drinks and time period

$$t= \frac{BAC}{0.015}$$

time taken to reach a zero BAC

1 standard drink = 10 g alcohol

$$N = 0.789VA$$

N = number of standard drinks
V = volume of drink in L
A = alcohol percent content

[Admin]

#18933

Find the value of H in the formula $$BA{C_{Male}} = \frac{{10N – 7.5H}}{{6.8M}}$$ if:

a. BAC_Male = 0.066, M = 60 and N = 5, correct to the nearest minute.

b. BAC_Male = 0.050, M = 79 and N = 7, correct to the nearest minute.

a. $$0.066=\frac{10\times5-7.5H}{6.8\times60}$$

$$0.066=\frac{50-7.5H}{408}$$  multiply both sides by 408

26.928 = 50 – 7.5H    subtract 50 from both sides

-23.072 = -7.5H   divide both sides by -7.5

H = 3.076   (change to hours and minutes)

H = 3 hours 5 minutes  

b. $$0.05=\frac{10\times7-7.5H}{6.8\times79}$$

$$0.05=\frac{70-7.5H}{537.2}$$  multiply both sides by 537.2

26.86 = 70 – 7.5H    subtract 70 from both sides

-43.14 = -7.5H   divide both sides by -7.5

H = 5.752   (change to hours and minutes)

H = 5 hours 45 minutes

[Admin]

#18934

Calculate the BAC for Joanne if she weighs 50kg and has 4 standard drinks in 2 hours.
$$BA{C_{Female}} = \frac{{(10\times4 – 7.5\times2)}}{{5.5\times50}}$$	Use the BAC formula for a female $$BA{C_{Female}} = \frac{{(10N – 7.5H)}}{{5.5M}}$$, substituting N = 4, H = 2 and M = 50
= 0.090909	calculate
= 0.09	round correct to 2 decimal places

[Admin]

#18935

Find the value of H, correct to the nearest minute, in the formula $$BA{C_{Male}} = \frac{{10N – 7.5H}}{{6.8M}}$$ if: a. $$BA{C_{Male}} =0.066$$, M = 60 and N = 5 b. $$BA{C_{Male}} =0.050$$, M = 70 and N = 7
a. $$0.066=\frac{10\times5-7.5H}{6.8\times60}$$	substitute the values into the equation
$$0.066=\frac{50-7.5H}{408}$$	multiply both sides by 408
26.928 = 50 – 7.5H	subtract 50 from both sides
-23.072 = -7.5H	divide both sides by -7.5
H = 3.076	change to hours and minutes, using the degrees and minutes button
H = 3 hours 5 minutes

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