This question is solved by proportions.
Step 1:
A nurse is preparing to administer cefaclor 40 mg/kg/day.
This means that the first step is finding the baby's weight in kg.
The child weighs 48lb. Each lb has 0,453592kg.
So the child weighs 48*0.453592 = 21.7724kg.
Step 2:
Here, we find the daily dose.
For each kg, the baby is administered 40 mg.
Since the baby weighs 21.7724 kg, the daily dose is of 40*21.7724 = 870.896
mg.
Step 3:
Here, we find how many mL in a day.
For 375 mg, 5 mL are administered. How many mL for 870.896 mg?
375 mg - 5 mL
870.896 mg - x mL
Applying cross multiplication:
Step 4:
Here, we find how many mL per dose.
Equal doses every 8 hours, so 24/8 = 3 doses per day.
11.6/3 = 3.9
Thus, the nurse should administer 3.9 mL per dose.
For more on proportional variables, you can check brainly.com/question/23536327.