Answered

Question 16 (2 points)

Use the information below:

[tex]\[ D = \frac{a}{a+12} \cdot M \][/tex]

Where:
- [tex]\( D \)[/tex] = child's dosage in milligrams
- [tex]\( a \)[/tex] = age of the child
- [tex]\( M \)[/tex] = adult dosage in milligrams

The child weighs 55 lbs. Calculate the child's weight in pounds (lbs) to kilograms (kg). Use the measurement conversion chart in your textbook. Show your work and round your final answer to 2 decimal places.



Answer :

To calculate the child's weight in pounds (lbs) to kilograms (kg) and round the answer to two decimal places, follow these steps:

1. Identify the given weight:
- The child's weight is given as 55 lbs.

2. Conversion factor:
- The conversion factor between pounds and kilograms is: 1 pound = 0.453592 kilograms.

3. Convert the weight from pounds to kilograms:
- Multiplying the child's weight by the conversion factor:
[tex]\[ \text{weight in kg} = 55 \, \text{lbs} \times 0.453592 \, \frac{\text{kg}}{\text{lb}} \][/tex]

4. Calculate the weight:
- This calculation yields:
[tex]\[ 55 \times 0.453592 = 24.94756 \][/tex]
- Therefore, the weight in kilograms is approximately 24.94756 kg.

5. Round the result to two decimal places:
- Rounding 24.94756 to two decimal places yields:
[tex]\[ 24.95 \, \text{kg} \][/tex]

So, the child's weight in kilograms, rounded to two decimal places, is 24.95 kg.