To convert the weight of the person from kilograms to pounds, we first need to know the conversion factor. According to the information provided, 1 pound is equivalent to approximately 0.45 kilograms. Therefore, to convert kilograms to pounds, we divide the weight in kilograms by 0.45 (since 1 kilogram is equivalent to 1/0.45 pounds).
Given that the person weighs 87 kilograms, we will use the following calculation:
\[ \text{Weight in pounds (lb)} = \frac{\text{Weight in kilograms (kg)}}{\text{Conversion factor (kg/lb)}} \]
Plugging in the values:
\[ \text{Weight in pounds (lb)} = \frac{87 \text{ kg}}{0.45 \text{ kg/lb}} \]
To carry out the division:
\[ \text{Weight in pounds (lb)} = 193.333\ldots \]
The problem specifies that the answer needs to be expressed to the correct number of significant figures. The options given are all rounded to the nearest ten, which means we need to round our answer to the nearest ten as well. Here's how you would do that:
When we look at the number 193.333..., the first significant figure in the tens place is '9', and the number in the units place '3' is greater than 5, so when rounding to the nearest ten, we will round up:
\[ 193.333\ldots \approx 190 \]
Thus, the person's weight in pounds, when expressed to the correct number of significant figures (rounded to the nearest ten), is 190 pounds.
The correct answer is:
A. 190 lb
