Questions: A nurse is preparing to administer amikacin IM to a client who weighs 176 lb. The medication reference states that the safe dosage range is 7.5 to 15 mg / kg / day divided every 12 hr. What is the maximum safe dose the nurse should expect to administer per day? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) mg

A nurse is preparing to administer amikacin IM to a client who weighs 176 lb. The medication reference states that the safe dosage range is 7.5 to 15 mg / kg / day divided every 12 hr. What is the maximum safe dose the nurse should expect to administer per day? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)
mg

Transcript text: A nurse is preparing to administer amikacin IM to a client who weighs 176 lb . The medication reference states that the safe dosage range is 7.5 to $15 \mathrm{mg} / \mathrm{kg} /$ day divided every 12 hr . What is the maximum safe dose the nurse should expect to administer per day? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ mg

Solution

Solution Steps

Step 1: Convert Weight from Pounds to Kilograms

To convert the client's weight from pounds to kilograms, we use the conversion factor $ 1 \, \text{lb} = 0.453592 \, \text{kg} $. Thus, the weight in kilograms is calculated as follows:

\[ \text{weight}_{\text{kg}} = 176 \, \text{lb} \times 0.453592 \, \text{kg/lb} \approx 79.8322 \, \text{kg} \]

Step 2: Calculate Maximum Safe Dosage

The maximum safe dosage of amikacin is given as $ 15 \, \text{mg/kg/day} $. Therefore, the maximum safe dose per day can be calculated by multiplying the weight in kilograms by the maximum dosage:

\[ \text{max safe dose}_{\text{per day}} = 79.8322 \, \text{kg} \times 15 \, \text{mg/kg/day} \approx 1197.4829 \, \text{mg/day} \]

Step 3: Round to the Nearest Whole Number

Rounding the calculated maximum safe dose to the nearest whole number gives:

\[ \text{max safe dose}_{\text{per day}} \approx 1197 \, \text{mg/day} \]