Final answer:
The child's dosage range, based on a weight of 48 lbs (approximately 21.82 kg) and a dose recommendation of 20 to 35 mg/kg, is calculated to be between 436 mg and 764 mg per dose, to be administered every 4-6 hours.
Step-by-step explanation:
To calculate the dosage range for the child who weighs 48lbs, we first convert the child's weight to kilograms, knowing that 1 kg equals 2.2 lbs. Hence, 48 lbs ÷ 2.2 lbs/kg gives us approximately 21.82 kg.
Next, we apply the given dose range recommendation of 20 to 35 mg/kg/dose. For the minimum dosage, we multiply 20 mg/kg by the child's weight in kg (20 mg/kg × 21.82 kg), which equals 436.4 mg per dose. For the maximum dosage, we multiply 35 mg/kg by the child's weight in kg (35mg/kg × 21.82 kg), which equals 764.2 mg per dose.
After calculating the dosages, we round them to the nearest whole number, getting 436 mg for the minimum and 764 mg for the maximum dosage. The final dosage range should be given every 4-6 hours according to the prescription.