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In Medicine / College | 2025-07-06

According to the dosage guide for one brand of active substance, the recommended delivery is 1.3 units of substance per kilogram of weight each day. How many daily units would be given to a 150 pound patient? Use 1 kg = 2.2 lb. Round your answer to the nearest unit.

Asked by waynoniacooper15

Answer (1)

Convert the patient's weight from pounds to kilograms: 2.2 150 ​ ≈ 68.18 kg.
Multiply the weight in kilograms by the dosage rate: 68.18 × 1.3 ≈ 88.63 units.
Round the result to the nearest whole unit: 88.63 ≈ 89 units.
The patient should be given 89 ​ units daily.

Explanation

Problem Analysis We are given that the recommended dosage is 1.3 units of the substance per kilogram of weight each day. The patient weighs 150 pounds, and we know that 1 kg is equal to 2.2 lb. Our goal is to find the number of units to administer daily, rounded to the nearest unit.

Converting Pounds to Kilograms First, we need to convert the patient's weight from pounds to kilograms. We use the conversion factor 1 kg = 2.2 lb: Weight in kg = 2.2 Weight in lb ​ = 2.2 150 ​

Calculating Weight in Kilograms Now, let's calculate the weight in kilograms: Weight in kg = 2.2 150 ​ ≈ 68.18 kg

Calculating Daily Units Next, we multiply the patient's weight in kilograms by the dosage rate (1.3 units/kg) to find the required daily dosage in units: Daily units = Weight in kg × Dosage per kg = 68.18 × 1.3

Calculating Daily Units Now, let's calculate the daily units: Daily units = 68.18 × 1.3 ≈ 88.63 units

Rounding to Nearest Unit Finally, we round the calculated daily dosage to the nearest whole unit: Rounded daily units = Round ( 88.63 ) = 89 units

Final Answer Therefore, the patient should be given 89 units daily.


Examples
Imagine you're a veterinarian prescribing medication for a dog. The dosage is based on the dog's weight in kilograms, but you only have the weight in pounds. By converting the weight to kilograms and then multiplying by the dosage rate, you can determine the correct amount of medication to give the dog. This ensures the dog receives the right amount of medicine for its size, preventing under- or over-dosage. This same principle applies in many medical and pharmaceutical scenarios where precise dosages are crucial for patient safety and treatment effectiveness.

Answered by GinnyAnswer | 2025-07-06

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