To calculate the single dose and total dose for a 15-year-old child weighing 110 lb, we first need to convert their weight from pounds to kilograms since the dosage is given in milligrams per kilogram.
Convert 110 lb to kg:
1 lb = 0.453592 kg
110 lb = 110 x 0.453592 = 49.89548 kg (rounded to 2 decimal places)
(a) Single dose:
The child’s dose of gentamicin is 1 mg/kg.
Therefore, for a 49.9 kg child, the single dose would be:
1 mg/kg x 49.9 kg = 49.9 mg
Rounded to one decimal place, the single dose would be 49.9 mg.
(b) Total dose:
The child is to receive the medication every 8 hours for 10 days.
There are 24 hours in a day, so there will be 3 doses per day (every 8 hours).
The total number of doses over the 10-day period would be:
3 doses/day x 10 days = 30 doses
To calculate the total dose, we can multiply the single dose by the total number of doses:
49.9 mg x 30 doses = 1497 mg
Therefore, the total dose for the 10-day period would be 1497 mg.