Question

Suppose that a new pain-killing drug is being tested for safety and effectiveness in a variety of people. the recommended dosage for an average 5' 10", 170-pound man is 400 mg. the manufacturer claims that the minimum effective dose for a person of that size is 250 mg, and that anything over 1,500 mg could be lethal for them. two of the patients in the test are a 6'4", 290-pound college football player recovering from a major injury, and a 4' 6", 70-pound girl being treated for sickle-cell disease. according to the manufacturer, dosages for this drug are proportional to body weight.

Answer 1

Dosages for the pain-killing drug are based on body weight. A 290-pound patient should receive approximately 682.35 mg, and a 70-pound patient should receive approximately 164.71 mg, with the calculations done using proportions.

Step-by-step explanation:

To calculate the dosage for the two patients based on their body weight, we need to set up a proportion. The known dosage is 400 mg for a 170-pound individual. Therefore, we can use the proportion D/400 = W/170, where D is the desired dosage for the patient and W is their weight in pounds.

For the 6'4", 290-pound college football player:

1. Set up the proportion: D/400 = 290/170.
2. Solve for D: D = 400 * (290/170)
3. D ≈ 682.35 mg

For the 4' 6", 70-pound girl:

1. Set up the proportion: D/400 = 70/170.
2. Solve for D: D = 400 * (70/170)
3. D ≈ 164.71 mg

Remember to always follow the manufacturer's guidelines and take into account individual circumstances such as liver function and potential for allergic reactions as these can alter the safe dosage.