Question

the dose of a drug is critical. too small a dose may not treat a patient effectively, while too much can cause serious side effects. a nurse must give a patient 25 mg of a drug for each kilogram of the patients mass. if a patient weighs 220 lb, how many milligrams of the drug should be given? use 1 kg = 2.2 lb and do not round any computations. mg

Explanation:

Step1: Convert weight from pounds to kilograms

Given \(1\ kg = 2.2\ lb\), and the patient weighs \(220\ lb\).
Let \(x\) be the weight in kilograms. Then \(x=\frac{220}{2.2}\) (since \(x=\frac{\text{weight in lb}}{\text{conversion factor}}\)).

$$x = 100\ kg$$

Step2: Calculate the dose of the drug

The dose is \(25\ mg\) per kilogram.
If the patient's weight is \(x = 100\ kg\), then the dose \(D=25\times x\).
Substitute \(x = 100\) into the formula: \(D = 25\times100\)

$$D=2500\ mg$$

Answer:

\(2500\)