Question

A road sign says:

Beaston: 10 mi (17 km)
Assuming that each of these numbers is rounded to the nearest unit, what is the actual range of possible miles to Beaston? Give your answer in interval notation, rounded to 2 decimal places.

(1 mile is exactly 1.609344 kilometers.)

Answer 1

The actual range of possible miles to Beaston, rounded to the nearest unit, is 9.5 to 10.5 miles.

Step-by-step explanation:

To find the actual range of possible miles to Beaston, we need to consider the maximum and minimum values that the rounded distances can represent. When rounding 10 miles to the nearest unit, the possible range is 9.5 to 10.5 miles.

Similarly, when rounding 17 kilometers to the nearest unit, the possible range is 16.5 to 17.5 kilometers.

To convert kilometers to miles, we use the conversion factor: 1 kilometer = 0.62 miles.

Therefore, the actual range of possible miles to Beaston is approximately 9.5 to 10.5 miles, which can be represented in interval notation as [9.5, 10.5].