Answer :
To solve the problem of determining how much of a drug a person weighing 195 pounds should receive each day, we'll go through the following steps:
1. Convert Weight from Pounds to Kilograms:
- First, we need to convert the weight from pounds to kilograms. The conversion factor is:
- 1 pound equals approximately 0.453592 kilograms.
- Therefore, to convert 195 pounds to kilograms:
- [tex]\( 195 \text{ lbs} \times 0.453592 \text{ kg/lb} = 88.45044 \text{ kg} \)[/tex].
2. Calculate the Maximum Dose in Milligrams:
- The maximum dose required is given as 23 mg per kg of body weight.
- To find the total maximum dose for the person, multiply the weight in kilograms by the dose per kilogram:
- [tex]\( 88.45044 \text{ kg} \times 23 \text{ mg/kg} = 2034.36012 \text{ mg} \)[/tex].
3. Round the Dose to One Decimal Place:
- Finally, round the calculated total dose to one decimal place:
- 2034.36012 mg rounds to 2034.4 mg.
Thus, a person weighing 195 pounds should receive a maximum dose of 2034.4 mg of the drug each day, rounded to one decimal place.
1. Convert Weight from Pounds to Kilograms:
- First, we need to convert the weight from pounds to kilograms. The conversion factor is:
- 1 pound equals approximately 0.453592 kilograms.
- Therefore, to convert 195 pounds to kilograms:
- [tex]\( 195 \text{ lbs} \times 0.453592 \text{ kg/lb} = 88.45044 \text{ kg} \)[/tex].
2. Calculate the Maximum Dose in Milligrams:
- The maximum dose required is given as 23 mg per kg of body weight.
- To find the total maximum dose for the person, multiply the weight in kilograms by the dose per kilogram:
- [tex]\( 88.45044 \text{ kg} \times 23 \text{ mg/kg} = 2034.36012 \text{ mg} \)[/tex].
3. Round the Dose to One Decimal Place:
- Finally, round the calculated total dose to one decimal place:
- 2034.36012 mg rounds to 2034.4 mg.
Thus, a person weighing 195 pounds should receive a maximum dose of 2034.4 mg of the drug each day, rounded to one decimal place.
