Final answer:
To find the daily Vanocin dosage for a 3-year-old child weighing 90 pounds, we convert pounds to kilograms and multiply by the dosage rate of 10 mg/kg/day. The calculation yields 408.2328 mg/day, which we round to 409 mg/day, making option 1) the correct choice.
Step-by-step explanation:
To calculate the correct dosage of Vanocin for the child who weighs 90 lbs, we first need to convert the weight into kilograms since the dosage is given in mg per kilogram of body weight per day. We know that 1 pound is approximately 0.453592 kilograms.
First, convert 90 pounds to kilograms:
90 lbs × 0.453592 kg/lb = 40.82328 kg.
Next, calculate the daily dose in milligrams using the given dosage of 10 mg/kg/day:
40.82328 kg × 10 mg/kg/day = 408.2328 mg/day.
Since medication doses are typically not given in fractions, we round the daily dose to the nearest whole number, which gives us 408 mg/day. Therefore, the closest answer option to our calculation is 409 mg/day.