Answer :

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Answer:

110 to 220 mg per individual dose

Explanation:

First, convert the child's weight from pounds (lb) to kilograms (kg) using the conversion factor in which 1 kg is equivalent to 2.2 lbs, or 1 kg = 2.2 lbs.

72.6 lbs × (kg / 2.2 lbs)
lbs in both numerator and denominator will cancel each other out.

72.6 ÷ 2.2 = 33 kg

Next, using this weight in kilograms, the safe dosage range in milligrams (mg) per day is determined using the given conversion factor of 10-20 mg/kg/day from the prompt.

33 kg × (10-20 mg / kg/day)
kg in both numerator and denominator will cancel each other out.

33 × 10-20 mg / day = 330-660 mg / day

A conversion factor can also be used to convert days to hours in order to make the next step easier. 1 day is equivalent to 24 hours (1 day = 24 hrs) so it can be substituted into the above proportion.

330-660 mg / day = 330-660 mg / 24 hours

It is safe for the patient to receive a total dose of 330 to 660 mg of medication every 24 hours. However, question is about individual dose. The given prompt states an individual dose is to be administered every 8 hours as reflected by the phrase "q8h." Thus, by dividing 24 hours by 8 hours (24 ÷ 8), it can be determined how many individual doses are administered within a day or within a 24-hour period.

24 ÷ 8 = 3

Finally, divide the total dosage by the quantity of individual doses to determine the safe dosage range per individual dose.

330-660 mg ÷ 3
= 110-220 mg

The safe dosage range per individual dose is 110-220 mg for a patient weighing 72.6 lbs.

The safe dosage per individual dose for the child is 110 mg to 220 mg.

To determine the safe dosage range per individual dose in mg for a child weighing 72.6 lb, we'll follow these steps:

Step 1: Convert the child's weight from pounds to kilograms:

  • [tex]Weight\,in\,kg = \frac{Weight\,in\,lb}{2.2}[/tex]
  •                      [tex]= \frac{72.6}{2.2} \approx 33 \text{ kg}[/tex]

​

Step 2: Calculate the safe dosage range per day in mg:}

According to the given safe dosage range, it's 10 to 20 mg/kg/day.

For the child weighing 33 kg:

  • Minimum safe dosage per day = 10 mg/kg/day × 33 kg
  •                                                    = 330mg/day

  • Maximum safe dosage per day = 20 mg/kg/day × 33 kg
  •                                                     = 660 mg/day

Step 3: Calculate the safe dosage range per individual dose (q8h or every 8 hours):

The total daily dosage is typically divided into 3 doses (q8h), assuming the child takes the medication every 8 hours.

Therefore, the safe dosage range per individual dose [tex]\( = \frac{\text{Total daily dosage}}{3} \)[/tex]

For the child:

  • Minimum safe dosage per individual dose = [tex]\frac{330 \text{ mg/day}}{3} \approx 110 \text{ mg/dose}[/tex]

  • Maximum safe dosage per individual dose} = [tex]\frac{660 \text{ mg/day}}{3} \approx 220 \text{ mg/dose}[/tex]

Conclusion: The safe dosage range per individual dose for a child weighing 72.6 lb is approximately 110 mg to 220 mg.

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