Question

question 38 of 40
a straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. a rest area is going to be built along the highway exactly 6 miles away from milepost 57. if m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?

a. |m - 6| = 57
b. |57 - m| = 6
c. |m + 6| = 57
d. |57 + m| = 6

Explanation:

Step1: Define distance condition

The distance between milepost \(m\) and 57 is 6. Distance is absolute value of difference.

Step2: Match equation

The absolute value equation for distance is \(|m - 57| = 6\), which is equivalent to \(|57 - m| = 6\).

Answer:

B. \(|57 - m| = 6\)