A doctor needs to prescribe a certain medicine for her patient. The amount of medicine prescribed per day is based on the weight of the patient at a ratio of three milligrams per two pounds of bodyweight. If the patient weighs 150 pounds, how much medication should the doctor prescribe per day?   \ \ \ \ a) set up a proportion, defining a variable for the unknown quantity, \ \ \ \ b) solve the proportion, showing all work leading to your answer \ \ \ \ c) write a sentence to explain the meaning of the answer for the situation.

Step 1:

Set up a proportion.

Three milligrams of medicine is pescribed per day for per two pounds of body weight.

Let represent the amount of medicine required for a person weighing 150 pounds.

The proportions is .

Step 2:

Find the amount of medicine for a person weighing 150 pounds.

Use proportions to find .

(c)

Therefore, the amount of medicine for a person weighing 150 pounds is 225 milligrams.

Solution:

(a) The proportions is .

(b) .

(c) The amount of medicine for a person weighing 150 pounds is 225 milligrams.