Prescription for Dimensional Analysis Course Activity January 2025 Prescription: 5 mg of Drug Z per pound of child's weight a day. Child's Weight: 30 Kg Issue: The parents would prefer to give liquid medication. You found a liquid medication that contains 0.9 grams of Drug Z per mL of solution. Question: How many mL of the liquid medication should the child take to meet the order of the prescription? Round your answer to 3 decimal place Hint: \( 1 \mathrm{Kg}=2.2 \mathrm{lbs} \)

To determine the correct dosage, first, convert the child's weight from kilograms to pounds. Given that 1 kg equals 2.2 lbs, a child weighing 30 kg is 30 x 2.2 = 66 lbs. The prescription requires 5 mg of Drug Z per pound of weight, so for a 66 lb child, the required daily dosage is 66 lbs x 5 mg/lb = 330 mg. Next, you need to know how many mL of the liquid medication is required to deliver 330 mg. Since the medication contains 0.9 grams (or 900 mg) per mL, you can set up the equation: \[ \text{mL required} = \frac{\text{Total mg needed}}{\text{mg per mL}} = \frac{330 \text{ mg}}{900 \text{ mg/mL}} \approx 0.367 \text{ mL} \] So, the child should take approximately 0.367 mL of the liquid medication daily to meet the prescribed dosage. Now, don’t forget to double-check the calculation and make adjustments based on the measurements of the liquid medication you have on hand. Using a proper syringe or dropper can ensure the dosage is accurate, avoiding potential issues with medication administration.