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join at menti.com | use code 4489 6382 example 4: single-dose range medications – maximum & minimum range example 2: gravol 25 mg im q4h prn nausea child weighs 30 lb. is the dosage safe? recommended dose: 1 to 2 mg/kg/dose q4h
Step1: Convert pounds to kilograms
We know that \( 1\space lb = 0.453592\space kg \), so for a child weighing \( 30\space lb \), the weight in kilograms is \( 30\times0.453592\approx13.61\space kg \).
Step2: Calculate the minimum and maximum recommended dose
The recommended dose is \( 1\space to\space 2\space mg/kg/dose \).
- Minimum dose: \( 1\space mg/kg\times13.61\space kg = 13.61\space mg \)
- Maximum dose: \( 2\space mg/kg\times13.61\space kg = 27.22\space mg \)
Step3: Compare the prescribed dose with the recommended range
The prescribed dose is \( 25\space mg \). Since \( 13.61\space mg\leq25\space mg\leq27.22\space mg \), the prescribed dose is within the recommended range.
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Yes, the dosage is safe as \( 25\space mg \) lies between the calculated minimum (\( 13.61\space mg \)) and maximum (\( 27.22\space mg \)) recommended doses for a \( 30\space lb \) (≈\( 13.61\space kg \)) child.