Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the dose of a drug is critical. too small a dose may not treat a patien…

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.

Explanation:

Step1: Convert pounds to kilograms

First, convert the patient's weight from pounds to kilograms. Given that \(1\ kg = 2.2\ lb\), if the patient weighs \(220\ lb\), then the weight in kilograms is \(220\div2.2\).
\[220\div2.2 = 100\ kg\]

Step2: Calculate the drug dosage

The nurse must give \(25\ mg\) of the drug for each kilogram of the patient's mass. So for a \(100 - kg\) patient, the amount of the drug in milligrams is \(25\times100\).
\[25\times100=2500\ mg\]

Answer:

2500