Answer :
Final answer:
The calculated dose of the medication for a 112-pound person is approximately 152.4 mg, which is rounded to 150 mg.
Explanation:
To calculate the drug dosage based on body weight, we must follow a three-step conversion process. The dose of the medicine is 3.0 mg/kg of body mass. The steps are as follows:
- Convert the body weight from pounds to kilograms.
- Calculate the total dose in milligrams based on the converted body weight in kilograms.
- Determine the number of tablets or capsules required based on the total dose and medication's tablet/capsule size (not applicable here as we need the total dose in milligrams).
First, we convert 112 pounds to kilograms, knowing that 1 kilogram equals 2.20462 pounds:
112 lbs / 2.20462 = 50.80234 kg (rounded to 50.8 kg for simplicity).
Next, we multiply the body weight in kilograms by the prescribed dose:
50.8 kg * 3.0 mg/kg = 152.4 mg.
Therefore, the calculated dose for a 112-lb person is approximately 152.4 mg, which we can round to 150 mg for convenience.
The dose in milligrams for a 112-lb person will be 152.72 so none of any options is correct.
What is unit conversion?
To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Given that,
Dose = 3 mg/kg
Since , 1 kg = 2.2 lb
So,
3 mg/kg = 3/2.2 mg/lb
Dose = 1.363636 mg/lb
Now dose for 112 lb person,
⇒ 1.3636 × 112
⇒ 152.727 mg
Hence "The dose in milligrams for a 112-lb person will be 152.72".
To learn more about unit conversion,
brainly.com/question/11543684
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