QuestionFind the safe dose range for a 35-pound child taking Amoxicillin, with a daily dose of $150 \mathrm{mg}-350 \mathrm{mg}$ .

Studdy Solution

STEP 1

Assumptions1. The child weighs35 pounds. The standard recommended dosing for Amoxicillin is150mg-350mg per day3. The dose is given4 times per day4. We are looking for the safe dose range for this child5. The dose range should be rounded to whole numbers

STEP 2

First, we need to convert the child's weight from pounds to kilograms because the standard dosing is usually given in mg/kg. We know that1 pound is approximately0.453592 kg.
$Weight_{kg} = Weight_{pounds} \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the child's weight and the conversion factor to calculate the weight in kilograms.
$Weight_{kg} =35 \\times0.453592$

STEP 4

Calculate the child's weight in kilograms.
$Weight_{kg} =35 \\times0.453592 =15.8757$

STEP 5

Since we are asked to round to whole numbers, round the child's weight to the nearest whole number.
$Weight_{kg} =16$

STEP 6

Now, we need to find the safe dose range for this child per day. We can do this by multiplying the child's weight in kg by the standard recommended dosing for Amoxicillin.
$ose_{range} = Weight_{kg} \\times Dose_{mg/kg}$

STEP 7

Plug in the values for the child's weight and the standard recommended dosing to calculate the safe dose range.
$ose_{range} =16 \\times150mg/kg -16 \\times350mg/kg$

STEP 8

Calculate the safe dose range for this child per day.
$ose_{range} =16 \\times150mg/kg -16 \\times350mg/kg =2400mg -5600mg$

STEP 9

Now that we have the safe dose range for this child per day, we can divide this by the number of times the dose is given per day (4) to find the safe dose range per administration.
$ose_{administration} = Dose_{range} / Number\, of\, administrations$

STEP 10

Plug in the values for the safe dose range and the number of administrations to calculate the safe dose range per administration.
$ose_{administration} =2400mg /4 -5600mg /4$

STEP 11

Calculate the safe dose range per administration.
$ose_{administration} =2400mg /4 -5600mg /4 =600mg -1400mg$ The safe dose range for this child is600mg -1400mg per administration.

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