Question

Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum distances that the dog may be from the house can be found using the equation |x – 500| = 8. What are the minimum and maximum distances that Morgan’s dog may be from the house?

Answer 1

|x – 500| = 8

⇒ x - 500 = 8 or x - 500 = -8

Solve x - 500 = 8

x - 500 = 8

x = 8 + 500

x = 508m

Solve x - 500 = -8

x - 500 = -8

x = -8 + 500

x = 492m

Answer: The minimum distance is 492m and the maximum distance is 508m