QuestionA child weighs 29 pounds. Find the safe Digoxin dose range in mg/day for a weight under 15 kg: $11.3-18.8 \mathrm{mg} / \mathrm{kg}$ .

Studdy Solution

STEP 1

Assumptions1. The child's weight is29 pounds. . The safe dose range for children under15 kg is11.3-18.8 mg/kg/day.
3. We need to convert the child's weight from pounds to kilograms since the safe dose range is given in kg. (1 kg =.20462 pounds)

STEP 2

First, we need to convert the child's weight from pounds to kilograms.
$Weight\, in\, kg = Weight\, in\, pounds /2.20462$

STEP 3

Now, plug in the given value for the child's weight in pounds to calculate the weight in kilograms.
$Weight\, in\, kg =29 /2.20462$

STEP 4

Calculate the child's weight in kilograms.
$Weight\, in\, kg =29 /2.20462 =13.15\, kg$

STEP 5

Now that we have the child's weight in kilograms, we can calculate the safe dose range. The safe dose range is given in mg/kg/day, so we multiply the child's weight by the lower and upper limits of the safe dose range.
$Lower\, safe\, dose = Weight\, in\, kg \\times Lower\, limit\, of\, safe\, dose\, range$ $Upper\, safe\, dose = Weight\, in\, kg \\times Upper\, limit\, of\, safe\, dose\, range$

STEP 6

Plug in the values for the child's weight in kg and the lower and upper limits of the safe dose range to calculate the safe dose range.
$Lower\, safe\, dose =13.15\, kg \\times11.3\, mg/kg/day$ $Upper\, safe\, dose =13.15\, kg \\times18.8\, mg/kg/day$

STEP 7

Calculate the lower and upper safe doses.
$Lower\, safe\, dose =13.15\, kg \\times11.3\, mg/kg/day =148.6\, mg/day$ $Upper\, safe\, dose =13.15\, kg \\times18.\, mg/kg/day =247.2\, mg/day$

STEP 8

We are asked to round the safe dose range to whole numbers. So, we round the lower and upper safe doses to the nearest whole numbers.
$Lower\, safe\, dose =149\, mg/day$ $Upper\, safe\, dose =247\, mg/day$ The safe dose range for this child is149-247 mg/day.

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