Answer:
The doctor's dosage was not appropriate.
The right dosage is from 56.625 mg to 113.25 mg of Antibiotic to be given every 6 hour for the child with weight 25 lbs.
Step-by-step explanation:
It is given that 20 to 40 mg/kg/day is the recommended dosage.
Now, the doctor's order is 150 mg of antibiotic to be given every 6 hours. And my child weighs 25 lbs.
Now, 1 lb is equivalent to 0.453 kg.
So, my child's weight is (25 × 0.453) = 11.325 kg.
So, the doctor's order is 150 mg of antibiotic to be given every 6 hours for a child of weight 11.325 kg.
Hence, the dosage is [(150 × 4) ÷ 11.325] = 52.98 mg/kg/day.
So, this is not within the limit of 20 to 40 mg/kg/day.
Therefore, the doctor's dosage was not appropriate.
Now, let the appropriate dosage is x mg per every 6 hours for a child with weight 25 lbs i.e. 11.325 kg.
So, ![20 \leq \frac{4x}{11.325} \leq 40](https://tex.z-dn.net/?f=20%20%5Cleq%20%20%5Cfrac%7B4x%7D%7B11.325%7D%20%5Cleq%2040)
⇒ ![20\leq 0.3532x \leq 40](https://tex.z-dn.net/?f=20%5Cleq%200.3532x%20%5Cleq%2040)
⇒ ![56.625 \leq x \leq 113.25](https://tex.z-dn.net/?f=56.625%20%5Cleq%20%20x%20%5Cleq%20%20113.25)
So, the right dosage is from 56.625 mg to 113.25 mg of antibiotic to be given every 6 hours for the child with weight 25 lbs. (Answer)