Question

sharons turtle escaped from her backyard sometime in the last few hours. according to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. if sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?
|x - 112| = 0
|x - 112| = 4
|4 - 112| = x
|112 - 4| = x

Explanation:

Step1: Understand absolute - value concept

The absolute - value of the difference between the block number $x$ where the turtle is and the block number 112 where Sharon lives represents the distance between them.

Step2: Determine the distance value

The farthest distance the turtle could have gone is 4 blocks. So, the equation that represents the situation is $|x - 112|=4$. This equation means that the distance between the block number $x$ (where the turtle is) and the block number 112 (where Sharon lives) is 4 blocks.

Answer:

B. $|x - 112| = 4$