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A doctor prescribed Xanax (alprazolam) \( 1.5 \mathrm{mg} / \mathrm{m}^{2} \) by mouth (PO) per day. This patient has a Body Surface Area (BSA) of \( 1.25 \mathrm{~m}^{2} \). How many 0.75 mg scored tablets of this anti- anxiety drug will you administer to the patient who suffers from panic attack per day?

Ask by Howell Ortiz. in Canada
Mar 10,2025

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Tutor-Verified Answer

Answer

The patient should take 2.5 tablets of Xanax per day.

Solution

To determine how many 0.75 mg scored tablets of Xanax (alprazolam) the patient should take per day, we need to calculate the total dose prescribed by the doctor based on the patient's Body Surface Area (BSA) and then divide it by the dose per tablet. Given: - Prescribed dose per day: \(1.5 \, \text{mg/m}^2\) - Patient's Body Surface Area (BSA): \(1.25 \, \text{m}^2\) - Dose per tablet: \(0.75 \, \text{mg}\) 1. Calculate the total dose prescribed by the doctor: \[ \text{Total dose} = \text{Prescribed dose per day} \times \text{Patient's BSA} \] 2. Calculate the number of tablets to be administered: \[ \text{Number of tablets} = \frac{\text{Total dose}}{\text{Dose per tablet}} \] Let's calculate the total dose and the number of tablets to be administered. Calculate the value by following steps: - step0: Calculate: \(1.5\times 1.25\) - step1: Multiply the numbers: \(1.875\) The total dose prescribed by the doctor is \(1.875 \, \text{mg}\). Now, let's calculate the number of tablets to be administered: \[ \text{Number of tablets} = \frac{1.875 \, \text{mg}}{0.75 \, \text{mg}} \] Let's calculate the number of tablets. Calculate the value by following steps: - step0: Calculate: \(\frac{1.875}{0.75}\) - step1: Convert the expressions: \(\frac{\frac{15}{8}}{\frac{3}{4}}\) - step2: Multiply by the reciprocal: \(\frac{15}{8}\times \frac{4}{3}\) - step3: Reduce the numbers: \(\frac{5}{2}\times 1\) - step4: Multiply: \(\frac{5}{2}\) The patient should be administered \(2.5\) tablets of Xanax (alprazolam) per day.

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To determine the daily dosage of Xanax for this patient, you need to multiply the prescribed amount by the patient's BSA. The calculation is: \( 1.5 \, \text{mg/m}^2 \times 1.25 \, \text{m}^2 = 1.875 \, \text{mg} \) Now, since each scored tablet contains 0.75 mg, to find out how many tablets are needed, you divide the total required dosage by the amount in each tablet: \( \frac{1.875 \, \text{mg}}{0.75 \, \text{mg/tablet}} = 2.5 \, \text{tablets} \) Since you can't administer half a tablet, you would typically round down to 2 tablets, but consult your doctor or pharmacist for specific recommendations. To recap: you'll administer 2 scored tablets for the closest whole number without exceeding the dosage.

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