A child's dosage of cefadroxil is 30 mg/kg/day for 14 days. If the child weighs 44 pounds, what is the smallest bottle size needed to provide enough medication?

To calculate the total dosage of cefadroxil required for the 14-day treatment period, we first need to convert the child's weight from pounds to kilograms. There are approximately 2.2 pounds in a kilogram, so a child weighing 44 pounds would weigh:

44 pounds ÷ 2.2 = 20 kg.

Now that we know the child's weight in kilograms, we can calculate the total daily dosage of cefadroxil:

30 mg/kg/day × 20 kg = 600 mg/day.

Next, we need to calculate the total dosage required for the entire 14-day treatment period:

600 mg/day × 14 days = 8400 mg.

Now, we need to determine how many milliliters of the medication will be necessary to meet this requirement. The formulation available is 500 mg per 5 ml. To find out how many milliliters would be needed to obtain 8400 mg, we can set up the following proportion:

If 500 mg is in 5 ml, then 8400 mg will be in (X ml):

500 mg / 5 ml = 8400 mg / X ml.

Cross-multiplying gives us:

500X = 8400 × 5