Questions & Answers
Browse all 8 questions from the
Mathematical Physiology study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
If the body mass index (BMI) is represented by the equation BMI = w/h², where w is weight in kg and h is height in meters, what is the weight of a person with a BMI of 25 and a height of 1.8 meters?
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A
72.0 kg
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B
81.0 kg
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C
67.5 kg
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D
45.0 kg
2
The volume of blood pumped by the heart per minute, known as Cardiac Output (CO), is calculated as CO = SV × HR, where SV is stroke volume and HR is heart rate. If CO is 5.0 L/min and HR is 75 beats/min, what is the approximate stroke volume per beat?
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A
66.7 mL
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B
75.0 mL
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C
50.0 mL
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D
15.0 mL
3
The concentration of a substance in the blood can be expressed by the formula C = A/V, where A is the total amount of substance and V is the plasma volume. If a patient has 150 mg of a medication in a plasma volume of 3 liters, what is the concentration in mg/L?
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A
45 mg/L
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B
50 mg/L
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C
30 mg/L
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D
40 mg/L
4
According to the Henderson-Hasselbalch equation pH = pKa + log([HCO3-]/[H2CO3]), what is the ratio of bicarbonate to carbonic acid if the blood pH is 7.4 and the pKa of the buffer system is 6.1?
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A
10:1
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B
15:1
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C
20:1
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D
25:1
5
Using the formula for vital capacity VC = IRV + TV + ERV, where IRV is inspiratory reserve volume (3000 mL), TV is tidal volume (500 mL), and ERV is expiratory reserve volume (1100 mL), what is the total vital capacity?
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A
4500 mL
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B
4600 mL
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C
4800 mL
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D
5000 mL
6
The clearance rate (Cl) of a substance by the kidneys is calculated as Cl = (U × V) / P, where U is urine concentration, V is urine flow rate, and P is plasma concentration. If U=100, V=1, and P=2, what is the clearance rate?
7
In the context of pharmacokinetics, the half-life (t1/2) is calculated using the formula t1/2 = 0.693/k, where k is the elimination rate constant. If k is 0.1386 hr⁻¹, what is the half-life of the drug?
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A
2 hours
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B
5 hours
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C
8 hours
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D
10 hours
8
Mean Arterial Pressure (MAP) is approximated by the equation MAP = DBP + 1/3(SBP - DBP), where SBP is systolic and DBP is diastolic pressure. If SBP is 120 and DBP is 80, what is the MAP?
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A
93.3 mmHg
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B
96.7 mmHg
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C
100.0 mmHg
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D
86.7 mmHg
