Questions: Solve the dosage by weight conversion problem.
Weight: 20 pounds.
Recommended dose from drug label: 0.28 milliliter per kilogram per dose.
a) What is the weight in kilograms?
b) What is the individual dose?
a) The weight in kilograms is 9.07 kg
(Round to the nearest hundredth as needed)
b) The individual dose is 2.54 milliliter(s).
(Round to the nearest whole number as needed.)
Transcript text: Solve the dosage by weight conversion problem.
Weight: 20 pounds.
Recommended dose from drug label: 0.28 milliliter per kilogram per dose.
a) What is the weight in kilograms?
b) What is the individual dose?
a) The weight in kilograms is 9.07 kg
(Round to the nearest hundredth as needed)
b) The individual dose is 2.54 milliliter(s).
(Round to the nearest whole number as needed.)
Solution
Solution Steps
Step 1: Convert Weight from Pounds to Kilograms
To convert the weight from pounds to kilograms, use the conversion factor:
\[ 1 \text{ pound} = 0.453592 \text{ kilograms} \]
Given the weight is 20 pounds, the conversion to kilograms is:
\[ 20 \text{ pounds} \times 0.453592 \text{ kg/pound} = 9.07184 \text{ kg} \]
Rounding to the nearest hundredth, the weight in kilograms is:
\[ 9.07 \text{ kg} \]
Step 2: Calculate the Individual Dose
The recommended dose is given as 0.28 milliliters per kilogram. To find the individual dose, multiply the weight in kilograms by the dose per kilogram:
\[ 9.07 \text{ kg} \times 0.28 \text{ ml/kg} = 2.5396 \text{ ml} \]
Rounding to the nearest whole number, the individual dose is:
\[ 2.54 \text{ ml} \]
Final Answer
a) The weight in kilograms is \(\boxed{9.07 \text{ kg}}\).
b) The individual dose is \(\boxed{2.54 \text{ ml}}\).