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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 Mccarthy Klein. 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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The Deep Dive

To determine the daily dosage for the patient, first, you need to calculate the total prescribed dose based on the patient's Body Surface Area (BSA). The doctor prescribed \( 1.5 \mathrm{mg/m}^2 \) and the patient's BSA is \( 1.25 \mathrm{m}^2 \). Total dose = \( 1.5 \mathrm{mg/m}^2 \times 1.25 \mathrm{m}^2 = 1.875 \mathrm{mg} \) per day. Next, you need to figure out how many 0.75 mg scored tablets are needed to meet this total dosage. Dividing the total daily dose by the strength of each tablet: \( \frac{1.875 \mathrm{mg}}{0.75 \mathrm{mg/tablet}} = 2.5 \) tablets. Since you're working with scored tablets, you can administer 2 scored tablets (1.5 mg) plus half of a tablet (0.375 mg) to reach the total of 1.875 mg. So, the patient should take 2.5 tablets of Xanax per day.

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