When rounding to 3.84 miles, this means the actual distance could be any value that rounds to 3.84 when considering the rules of rounding.
The rules for rounding state that:
- If the digit to the right of the place you are rounding to (in this case, the hundredth place, which is the last digit in 3.84) is 5 or more, you round up.
- If it is less than 5, you round down.
Therefore, for a number to round to 3.84 when rounded to two decimal places, it must be in the range of:
- 3.835 to 3.844999...
Now let's check which of the options provided falls within this range:
A. 3.847 miles - Not in the range (rounds to 3.85) B. 3.838 miles - In the range (rounds to 3.84) C. 3.833 miles - Not in the range (rounds to 3.83) D. 3.845 miles - Not in the range (rounds to 3.85)
Therefore, the only option that could be the actual distance is:
B. 3.838 miles