Final answer:
To calculate the required dosage of cold medication for a person weighing 260 lb when the dosage is 2 mg per 80 lb, we find there are 3.25 units of 80 lb in 260 lb and multiply it by the dosage per unit, resulting in a total of 6.5 mg needed.
Step-by-step explanation:
The dosage of a cold medication is prescribed as 2 mg for every 80 lb of body weight. To find out how many milligrams are required for a person who weighs 260 lb, we set up a proportion based on the given dosage information:
- First, determine the dosage per pound: 2 mg / 80 lb.
- Next, find out how many 80 lb units there are in 260 lbs: 260 lb / 80 lb = 3.25 units.
- Finally, multiply the number of units by the dosage per unit: 3.25 units × 2 mg = 6.5 mg.
Therefore, a person who weighs 260 lb requires 6.5 mg of the cold medication.