A doctor orders Vancomycin 500 mg to infuse at 5 mg/kg/hr. The patient weighs 98 lbs. You are supplied with a 500 mg/100 mL bag. How many mL/hr will you administer? (Round your answer to the nearest tenths)

Given: Ordered dose of Vancomycin: 500 mg Infusion rate: 5 mg/kg/hr Patient weight: 98 lbs Concentration of Vancomycin: 500 mg/100 mL Step 1: Convert patient weight from pounds to kilograms: 1 pound (lb) = 0.453592 kilograms (kg) Patient weight in kg = 98 lbs x 0.453592 kg/lb = 44.462256 kg Step 2: Calculate the total dose of Vancomycin in mg/hr: Total dose (mg/hr) = Ordered dose (mg/kg/hr) x Patient weight (kg) Total dose (mg/hr) = 5 mg/kg/hr x 44.462256 kg Total dose (mg/hr) = 222.31128 mg/hr Step 3: Calculate the infusion rate in mL/hr: Infusion rate (mL/hr) = Total dose (mg/hr) / Concentration (mg/mL) Infusion rate (mL/hr) = 222.31128 mg/hr / (500 mg/100 mL) Infusion rate (mL/hr) = 222.31128 mg/hr x (100 mL/500 mg) Infusion rate (mL/hr) = 44.462256 mL/hr Step 4: Round to the nearest tenth: Infusion rate (mL/hr) ≈ 44.5 mL/hr