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malfutka [58]
3 years ago
6

A doctor orders 200 mg of Rocephin to be taken by a 15.4 lb infant every 8 hours. The medication label shows that 75-150 mg/kg p

er day is the appropriate dosage range. Is this doctor's order within the desired range? I5.4lb 22-7k7 4es
Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

Yes, the doctor's order within the desired range

Step-by-step explanation:

Given:

Dosage of Rocephin ordered = 200 mg

Mass of the infant = 15.4 lb

1 lb = 0.453592 kg

thus,

15.4 lb = 0.453  × 15.4 = 6.97 kg

Dosage is provided every 8 hours

thus,

Number of dosage per day = \frac{\textup{24 hours}}{\textup{8}} = 3

Hence,

the total dosage ordered per day = 200 × 3 = 600 mg

Dosage ordered per kg of infant per day = \frac{\textup{600}}{\textup{6.97}}

or

Dosage ordered per kg of infant per day = 86.083 mg/kg per day

Yes, the doctor's order within the desired range

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