Final answer:
The required gentamicin dose for a patient weighing 75 kg at 7 mg per kg body weight is 525 mg.
Step-by-step explanation:
To calculate the gentamicin dose for the patient, multiply the patient's body weight in kilograms by the prescribed dosage per kilogram.
The patient weighs 75 kg and requires 7 mg of gentamicin per kg of body weight. The formula for calculating the dose is:
Dose (mg) = body weight (kg) × dosage per kg (mg/kg)
By plugging in the known values:
Dose (mg) = 75 kg × 7 mg/kg
Multiply the patient's body weight by the prescribed dosage to obtain the total dose:
Dose (mg) = 525 mg
Therefore, 525 mg of gentamicin is the required dose for a patient weighing 75 kg.