Question

A patient, who weighs 242 pounds, is prescribed a medicine to mitigate pain. The proper dose of the medicine is 3.6 milligrams per 10 kilograms of body mass daily. How many milligrams of medicine should this patient receive each day? Please round to the nearest whole milligram.

Answer 1

A patient weighing 242 pounds should receive 40 milligrams of medicine daily based on the prescribed dose of 3.6 milligrams per 10 kilograms of body weight, after converting pounds to kilograms and rounding to the nearest whole milligram.

Step-by-step explanation:

The question involves the calculation of a patient's medication dose based on their body weight and a set dosage ratio. To determine the appropriate amount of medicine, we need to carry out unit conversions and apply the information given.

The patient weighs 242 pounds. As 1 kilogram equals approximately 2.20462 pounds, the patient's weight in kilograms is:

• 242 pounds × (1 kilogram / 2.20462 pounds) = 109.77 kilograms (rounded to two decimal places)

Now, using the prescribed dose of 3.6 milligrams per 10 kilograms:

• (109.77 kilograms / 10 kilograms) × 3.6 milligrams = 39.518 milligrams

Thus, the patient should receive 40 milligrams of medicine daily since we are asked to round to the nearest whole milligram.