Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a child is ordered 0.1 g of a medication ivpb q4h. the child weighs 12 …

Question

a child is ordered 0.1 g of a medication ivpb q4h. the child weighs 12 kg. the recommended dosage of this medication is 20 - 70 mg\kg\\24h.
how many mg is the child receiving each day?
\square mg (if decimal, round to the tenth place.)
what is the low recommended dose for this child per day?
\square mg/day (if decimal, round to the tenth place.)
what is the high recommended dose for this child per day?
\square mg/day (if decimal, round to the tenth place.)
is this order safe and therapeutic?
\square (enter 1 for yes or 0 for no)

Explanation:

Step1: Convert grams to milligrams

Since \(1g = 1000mg\), then \(0.1g=0.1\times1000 = 100mg\) per dose.
The medication is given \(q4h\) (every 4 hours). In a 24 - hour day, the number of doses \(n=\frac{24}{4}=6\) doses.
The total dose per day \(D = 100\times6=600mg\)

Step2: Calculate the low - recommended dose

The low - recommended dosage is \(20mg/kg/24h\). The child weighs \(12kg\).
The low - recommended dose \(L=20\times12 = 240mg/day\)

Step3: Calculate the high - recommended dose

The high - recommended dosage is \(70mg/kg/24h\). The child weighs \(12kg\).
The high - recommended dose \(H=70\times12=840mg/day\)

Step4: Check if the order is safe

Since \(240mg/day\leqslant600mg/day\leqslant840mg/day\)

Answer:

600
240
840
1