Questions: A child's amoxicillin dose is 20 mg / kg / day in divided doses, every 8 hours. How many milligrams (MG) of amoxicillin would a 44 lb child receive daily? 400 mg 1000 mg 200 mg 1200 mg

A child's amoxicillin dose is 20 mg / kg / day in divided doses, every 8 hours. How many milligrams (MG) of amoxicillin would a 44 lb child receive daily? 
400 mg 
1000 mg 
200 mg 
1200 mg
Transcript text: A child's amoxicillin dose is $20 \mathrm{mg} / \mathrm{kg} /$ day in divided doses, every 8 hours. How many milligrams (MG) of amoxicillin would a 44 lb child receive daily? 400 mg 1000 mg 200 mg 1200 mg
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Solution

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Solution Steps

Step 1: Convert the Child's Weight from Pounds to Kilograms

To calculate the dosage, we first need to convert the child's weight from pounds to kilograms. The conversion factor is \(1 \, \text{kg} = 2.20462 \, \text{lb}\).

\[ \text{Weight in kg} = \frac{44 \, \text{lb}}{2.20462 \, \text{lb/kg}} \approx 19.9583 \, \text{kg} \]

Step 2: Calculate the Total Daily Dosage

The prescribed dosage is \(20 \, \text{mg} / \text{kg} / \text{day}\). Therefore, the total daily dosage for the child is:

\[ \text{Total daily dosage} = 20 \, \text{mg/kg/day} \times 19.9583 \, \text{kg} \approx 399.166 \, \text{mg/day} \]

Step 3: Round the Total Daily Dosage

Since the dosage is typically rounded to the nearest whole number for practical purposes, we round \(399.166 \, \text{mg/day}\) to the nearest whole number:

\[ \text{Rounded total daily dosage} = 400 \, \text{mg/day} \]

Final Answer

The child would receive \(\boxed{400 \, \text{mg}}\) of amoxicillin daily.

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