The recommended dose of medication is 250 mg/kg/day, given in 4 to 6 doses. The adult weighs 165 lbs. What is the 24-hour safe dose? Round to the nearest tenth.

Question

High School

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Answer :

ShawnLewise ShawnLewise · Answer 1 · 2023-08-19T05:55:39-04:00

The 24-hour safe dose for an adult weighing 165 lbs is 18700.0 mg/day.

The adult's weight is 165 lbs.

To convert pounds to kilograms, we use the conversion factor 1 kg = 2.20462 lbs.

[tex]\text{Weight in kg} = \frac{165 \text{ lbs}}{2.20462} \approx 74.8 \text{ kg}[/tex]

The recommended dose is 250 mg per kg per day.

[tex]\text{Total daily dose} = 250 \text{ mg/kg/day} \times 74.8 \text{ kg} \approx 18700 \text{ mg/day}[/tex]

Since the medication is given in 4 to 6 doses per day, we need to divide the total daily dose by the number of doses.

To find the range of the dose per administration, we do the following calculations:

For 4 doses:
[tex]\frac{18700 \text{ mg}}{4} = 4675 \text{ mg/dose}[/tex]

For 6 doses:
[tex]\frac{18700 \text{ mg}}{6} = 3116.7 \text{ mg/dose}[/tex]

Therefore, the 24-hour safe dose of the medication for an adult weighing 165 lbs is approximately 18,700 mg.

Ith can be split into 4 doses of 4675 mg or up to 6 doses of approximately 3116.7 mg.

Rounding to the nearest tenth place for accuracy, we get doses of 4675 mg and 3116.7 mg per administration respectively.