Question

the prescribed dosage of a drug is 12 mg/kg daily, meaning that 12 milligrams of the drug should be administered daily for each kilogram of a patients weight. how many 100 - milligram tablets should be given each day to a patient who weighs 179 pounds? (use the fact that 1 lb ≈ 0.45 kg )
the patient should receive \square 100 - milligram tablets each day.
(round to the nearest whole number as needed.)

Explanation:

Step1: Convert pounds to kilograms

Given \(1\ lb\approx0.45\ kg\), for a patient weighing \(179\) pounds, the weight in kilograms is \(m = 179\times0.45\).

$$m=179\times0.45 = 80.55\ kg$$

Step2: Calculate the total daily dosage

The dosage is \(12\ \frac{mg}{kg}\) daily. So the total daily dosage \(D\) (in mg) is \(D=12\times m\). Substitute \(m = 80.55\) into the formula:

$$D = 12\times80.55=966.6\ mg$$

Step3: Calculate the number of 100 - mg tablets

Let \(n\) be the number of 100 - mg tablets. Then \(n=\frac{D}{100}\). Substitute \(D = 966.6\) into the formula:

$$n=\frac{966.6}{100}=9.666$$

Answer:

\(10\)