Final answer:
The dosage of an asthma drug is 3 mg/kg of body mass, which when converted to g/lb units, is approximately 0.00136 g/lb after adjusting for the difference in mass units between kilograms and pounds and the conversion between milligrams and grams.
Step-by-step explanation:
To calculate the dosage of an asthma drug in g/lb when the given dosage is 3 mg/kg of body mass, we need to perform a unit conversion. First, note that 1 kg is approximately 2.20462 pounds (lb), and 1 mg is 0.001 grams (g).
The dosage in g/lb can be calculated by converting the kg to lb, and then the mg to g. Since the dosage is 3 mg/kg, this equates to 3 mg per 2.20462 lb, which we can express as (3 mg / 2.20462 lb). To convert mg to g, we multiply by (1 g / 1000 mg), leading to:
(3 mg / 2.20462 lb) * (1 g / 1000 mg) = (3 / 2.20462) * (1 / 1000) g/lb
After calculating, we get approximately 0.00136 g/lb.
It is essential to check the answer to ensure it is reasonable and consistent with standard dosage amounts.