To determine the correct dose of Gentamycin to administer, follow these steps:
1. Convert the child's weight from pounds (lb) to kilograms (kg):
- The conversion factor from pounds to kilograms is [tex]\(1 \text{ lb} = 0.453592 \text{ kg}\)[/tex].
- Multiply the child's weight in pounds by the conversion factor to get the weight in kilograms:
[tex]\[
22 \text{ lb} \times 0.453592 \text{ kg/lb} = 9.979023999999999 \text{ kg}
\][/tex]
2. Calculate the correct dose based on the weight:
- The prescribed dosage is [tex]\(2 \text{ mg/kg}\)[/tex].
- Multiply the dosage per kilogram by the weight in kilograms to get the total dose in milligrams:
[tex]\[
2 \text{ mg/kg} \times 9.979023999999999 \text{ kg} = 19.958047999999998 \text{ mg}
\][/tex]
So, the child's weight in kilograms is approximately [tex]\(9.98 \text{ kg}\)[/tex], and the correct dose of Gentamycin to administer is approximately [tex]\(19.96 \text{ mg}\)[/tex].
