Sharon’s 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 one hundred and twelfth block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?
Answer
A
start absolute value x minus 112 end absolute value is equal to 0
B
start absolute value x minus 112 end absolute value is equal to 4
C
start absolute value 112 minus 4 end absolute value is equal to x
D
start absolute value 4 minus 112 end absolute value is equal to x
Explanation
The turtle’s block number, x, is 4 blocks from Sharon’s block, 112. Absolute value represents the distance between two numbers, so the equation is |x − 112| = 4. This is choice B, and it gives the two farthest block numbers, 108 and 116.
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