QuestionPatient 3: D Cameron weighs 115 lb and is 58 in tall.
a. Convert weight to kg.
b. Find the dosage range (15-25 mg/kg) for D Cameron.
c. Is 800 mg within the recommended dosage?

Studdy Solution

STEP 1

Assumptions1. The weight of D Cameron is115 lb. The height of D Cameron is58 in (this is not needed for the problem)
3. The conversion factor from lb to kg is1 lb =0.453592 kg4. The dosage range of the medicine is15-25 mg/kg of body weight5. The prescribed dosage is800 mg

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.
$Weight_{kg} =115\, lb \\times0.453592\, kg/lb$

STEP 4

Calculate the weight in kg.
$Weight_{kg} =115\, lb \\times0.453592\, kg/lb =52.2\, kg$

STEP 5

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

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 in mg.
$Dosage_{lower} =52.2\, kg \\times15\, mg/kg$

STEP 7

Calculate the lower limit of the dosage in mg.
$Dosage_{lower} =52.2\, kg \\times15\, mg/kg =783\, mg$

STEP 8

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

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 in mg.
$Dosage_{upper} =52.2\, kg \\times25\, mg/kg$

STEP 10

Calculate the upper limit of the dosage in mg.
$Dosage_{upper} =52.2\, kg \\times25\, mg/kg =1305\, mg$

STEP 11

Now that we have the dosage range, we can determine if the prescribed dosage 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.
$Dosage_{lower} \leq Prescribed\, dosage \leq Dosage_{upper}$

STEP 12

Plug in the values for the lower limit, the prescribed dosage, and the upper limit to determine if the prescribed dosage is within the range.
$783\, mg \leq800\, mg \leq1305\, mg$ The prescribed dosage of800 mg is within the recommended dosage range of783 mg to1305 mg.

Was this helpful?

QuestionPatient 3: D Cameron weighs 115 lb and is 58 in tall.
a. Convert weight to kg.
b. Find the dosage range (15-25 mg/kg) for D Cameron.
c. Is 800 mg within the recommended dosage?

Studdy Solution

STEP 1

Assumptions1. The weight of D Cameron is115 lb. The height of D Cameron is58 in (this is not needed for the problem)
3. The conversion factor from lb to kg is1 lb =0.453592 kg4. The dosage range of the medicine is15-25 mg/kg of body weight5. The prescribed dosage is800 mg

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.
$Weight_{kg} =115\, lb \\times0.453592\, kg/lb$

STEP 4

Calculate the weight in kg.
$Weight_{kg} =115\, lb \\times0.453592\, kg/lb =52.2\, kg$

STEP 5

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

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 in mg.
$Dosage_{lower} =52.2\, kg \\times15\, mg/kg$

STEP 7

Calculate the lower limit of the dosage in mg.
$Dosage_{lower} =52.2\, kg \\times15\, mg/kg =783\, mg$

STEP 8

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

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 in mg.
$Dosage_{upper} =52.2\, kg \\times25\, mg/kg$

STEP 10

Calculate the upper limit of the dosage in mg.
$Dosage_{upper} =52.2\, kg \\times25\, mg/kg =1305\, mg$

STEP 11

Now that we have the dosage range, we can determine if the prescribed dosage 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.
$Dosage_{lower} \leq Prescribed\, dosage \leq Dosage_{upper}$

STEP 12

Plug in the values for the lower limit, the prescribed dosage, and the upper limit to determine if the prescribed dosage is within the range.
$783\, mg \leq800\, mg \leq1305\, mg$ The prescribed dosage of800 mg is within the recommended dosage range of783 mg to1305 mg.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionPatient 3: D Cameron weighs 115 lb and is 58 in tall. a. Convert weight to kg. b. Find the dosage range (15-25 mg/kg) for D Cameron. c. Is 800 mg within the recommended dosage?

Studdy Solution

STEP 1

Assumptions1. The weight of D Cameron is115 lb. The height of D Cameron is58 in (this is not needed for the problem)3. The conversion factor from lb to kg is1 lb =0.453592 kg4. The dosage range of the medicine is15-25 mg/kg of body weight5. The prescribed dosage is800 mg

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.Weightkg=WeightlbtimesConversion factorWeight_{kg} = Weight_{lb} \\times Conversion\, factorWeightkg​=Weightlb​timesConversionfactor

STEP 3

Now, plug in the given values for the weight and the conversion factor to calculate the weight in kg.Weightkg=115 lbtimes0.453592 kg/lbWeight_{kg} =115\, lb \\times0.453592\, kg/lbWeightkg​=115lbtimes0.453592kg/lb

STEP 4

Calculate the weight in kg.Weightkg=115 lbtimes0.453592 kg/lb=52.2 kgWeight_{kg} =115\, lb \\times0.453592\, kg/lb =52.2\, kgWeightkg​=115lbtimes0.453592kg/lb=52.2kg

STEP 5

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 in mg.Dosagelower=52.2 kgtimes15 mg/kgDosage_{lower} =52.2\, kg \\times15\, mg/kgDosagelower​=52.2kgtimes15mg/kg

STEP 7

Calculate the lower limit of the dosage in mg.Dosagelower=52.2 kgtimes15 mg/kg=783 mgDosage_{lower} =52.2\, kg \\times15\, mg/kg =783\, mgDosagelower​=52.2kgtimes15mg/kg=783mg

STEP 8

The upper limit of the dosage range is found by multiplying the weight by the upper limit of the dosage range.Dosageupper=WeightkgtimesDosageupper limitDosage_{upper} = Weight_{kg} \\times Dosage_{upper\, limit}Dosageupper​=Weightkg​timesDosageupperlimit​

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 in mg.Dosageupper=52.2 kgtimes25 mg/kgDosage_{upper} =52.2\, kg \\times25\, mg/kgDosageupper​=52.2kgtimes25mg/kg

STEP 10

Calculate the upper limit of the dosage in mg.Dosageupper=52.2 kgtimes25 mg/kg=1305 mgDosage_{upper} =52.2\, kg \\times25\, mg/kg =1305\, mgDosageupper​=52.2kgtimes25mg/kg=1305mg

STEP 11

STEP 12

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionPatient 3: D Cameron weighs 115 lb and is 58 in tall.
a. Convert weight to kg.
b. Find the dosage range (15-25 mg/kg) for D Cameron.
c. Is 800 mg within the recommended dosage?

Assumptions1. The weight of D Cameron is115 lb. The height of D Cameron is58 in (this is not needed for the problem)
3. The conversion factor from lb to kg is1 lb =0.453592 kg4. The dosage range of the medicine is15-25 mg/kg of body weight5. The prescribed dosage is800 mg

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.
$Weight_{kg} = Weight_{lb} \\times Conversion\, factor$

Now, plug in the given values for the weight and the conversion factor to calculate the weight in kg.
$Weight_{kg} =115\, lb \\times0.453592\, kg/lb$

Calculate the weight in kg.
$Weight_{kg} =115\, lb \\times0.453592\, kg/lb =52.2\, kg$

Plug in the values for the weight and the lower limit of the dosage range to calculate the lower limit of the dosage in mg.
$Dosage_{lower} =52.2\, kg \\times15\, mg/kg$

Calculate the lower limit of the dosage in mg.
$Dosage_{lower} =52.2\, kg \\times15\, mg/kg =783\, mg$

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

Plug in the values for the weight and the upper limit of the dosage range to calculate the upper limit of the dosage in mg.
$Dosage_{upper} =52.2\, kg \\times25\, mg/kg$

Calculate the upper limit of the dosage in mg.
$Dosage_{upper} =52.2\, kg \\times25\, mg/kg =1305\, mg$