MATH SOLVE

2 months ago

Q:
# Just as you are recovering, your child falls ill. in your medication dosages, so you hurriedly scan the Internet to make sure that what the doctor is giving your child is safe. The doctor writes the order for the following: You know that there have been mistakes 150 mg of an antibiotic to be given every 6 hours Your child weighs 30 lb. Your research indicates that 20-40 mg/kg/day is the recommended dosage. Is this prescription safe for your child? Why or why not?

Accepted Solution

A:

Answer:Given dose (i.e 600 mg) lies outside the recommended range of 271.8-543.6 mg/day that too on the higher sideHence, the prescription is not safe.Step-by-step explanation:Given:Weight of medicine given per interval = 150 mgtime interval = 6 hoursthus, number of intervals per day = [tex]\frac{\textup{24}}{\textup{6}}[/tex] = 4therefore, the total dose of medicine provided per day = 4 × 150 = 600 mgNow, Recommended dosage = 20-40 mg/kg/dayweight of child = 30 lbalso, 1 lb = 0.453 kgthus, weight of child = 30 × 0.453 = 13.59 kgTherefore, the recommended dose for the child = ( 20-40 mg/kg/day ) × 13.59= 271.8-543.6 mg/daynow,the given dose (i.e 600 mg) lies outside the recommended range of 271.8-543.6 mg/day that too on the higher sideHence, the prescription is not safe.