QuestionPatient 3: D Cameron weighs 115 lb and is 58 in tall. Convert weight to kg, find dosage range (15-25 mg/kg), and check if 800 mg is safe.

Studdy Solution

STEP 1

Assumptions1. The weight of D Cameron is115 lb. The height of D Cameron is58 in3. The conversion factor from lb to kg is0.453592374. The medicine dosage range is15-25 mg/kg of body weight5. The doctor prescribed800 mg of medication

STEP 2

First, we need to convert the weight from lb to kg. We can do this by multiplying the weight in lb by the conversion factor.
$Weight_{kg} = Weight_{lb} \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the weight and the conversion factor to calculate the weight in kg.
$Weight_{kg} =115\, lb \\times0.45359237$

STEP 4

Calculate the weight in kg.
$Weight_{kg} =115\, lb \\times0.45359237 =52.1631\, kg$

STEP 5

Now that we have the weight in kg, we can calculate the dosage range. The lower limit of the dosage range is found by multiplying the weight in kg by the lower limit of the dosage range.
$Dosage_{lower\, limit} = Weight_{kg} \\times Dosage_{lower\, limit}$

STEP 6

Plug in the values for the weight and the lower limit of the dosage range to calculate the lower limit of the dosage.
$Dosage_{lower\, limit} =52.1631\, kg \\times15\, mg/kg$

STEP 7

Calculate the lower limit of the dosage.
$Dosage_{lower\, limit} =52.1631\, kg \\times15\, mg/kg =782.4465\, mg$

STEP 8

Similarly, the upper limit of the dosage range is found by multiplying the weight in kg by the upper limit of the dosage range.
$Dosage_{upper\, limit} = Weight_{kg} \\times Dosage_{upper\, limit}$

STEP 9

Plug in the values for the weight and the upper limit of the dosage range to calculate the upper limit of the dosage.
$Dosage_{upper\, limit} =52.163\, kg \\times25\, mg/kg$

STEP 10

Calculate the upper limit of the dosage.
$Dosage_{upper\, limit} =52.163\, kg \\times25\, mg/kg =1304.0775\, mg$

STEP 11

Now that we have the dosage range, we can check if the prescribed dosage of800 mg is within this range. The prescribed dosage is within the range if it is greater than or equal to the lower limit and less than or equal to the upper limit.
$Dosage_{lower\, limit} \leq Prescribed\, dosage \leq Dosage_{upper\, limit}$

STEP 12

Plug in the values for the lower limit, the prescribed dosage, and the upper limit to check if the prescribed dosage is within the range.
$782.4465\, mg \leq800\, mg \leq1304.0775\, mg$ The prescribed dosage of800 mg is within the recommended dosage range of782.4465 mg to1304.0775 mg.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms