QuestionIs a daily dose of $175 \mathrm{mcg}$ of Levothyroxin safe for an 8-year-old weighing $29.5 \mathrm{~kg}$ ? Explain.

Studdy Solution

STEP 1

Assumptions1. The ordered dose of Levothyroxin is175 mcg. The child's weight is29.5 kg3. The recommended dose of Levothyroxin is4-5 mcg/kg/day

STEP 2

First, we need to find the recommended dose range for the child. We can do this by multiplying the child's weight by the lower and upper limits of the recommended dose.
$Recommended\, dose\, range = Weight\, of\, child\, (kg) \\times Recommended\, dose\, (mcg/kg/day)$

STEP 3

Now, plug in the given values for the child's weight and the lower limit of the recommended dose to calculate the lower limit of the recommended dose range.
$Lower\, limit\, of\, recommended\, dose\, range =29.5\, kg \\times\, mcg/kg/day$

STEP 4

Calculate the lower limit of the recommended dose range.
$Lower\, limit\, of\, recommended\, dose\, range =29.\, kg \\times4\, mcg/kg/day =118\, mcg/day$

STEP 5

Now, plug in the given values for the child's weight and the upper limit of the recommended dose to calculate the upper limit of the recommended dose range.
$Upper\, limit\, of\, recommended\, dose\, range =29.5\, kg \\times5\, mcg/kg/day$

STEP 6

Calculate the upper limit of the recommended dose range.
$Upper\, limit\, of\, recommended\, dose\, range =29.5\, kg \\times5\, mcg/kg/day =147.5\, mcg/day$

STEP 7

Now that we have the recommended dose range, we can compare this with the ordered dose to determine if the ordered dose is safe.
If the ordered dose is within the recommended dose range, then it is safe. If the ordered dose is below the recommended dose range, then it is too low. If the ordered dose is above the recommended dose range, then it is too high.

STEP 8

The ordered dose is175 mcg. Compare this with the recommended dose range (118 mcg/day to147.5 mcg/day).
The ordered dose (175 mcg) is higher than the upper limit of the recommended dose range (147.5 mcg/day), so the ordered dose is too high and is not safe.

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