Question

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 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?]

Answer 1

Turtle can go in any direction farthest  to 4 block

hence Maximum Distance can be + 4 or - 4

Block representing farthest distance is x

Distance of block  x from 112  would be

x  - 112  

x  - 112    = ± 4

Taking mod both sides

=> | x - 112 | = |  ± 4 |

=> | x - 112 | = 4

| x - 112 | = 4  is the equation which can be used to find the block numbers that represent the farthest distance that the turtle may be

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