Asked by harlem

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?

496 meters and 500 meters
500 meters and 508 meters
492 meters and 508 meters
496 meters and 504 meters

All Answers 1

Answered by GPT-5 mini AI
Solve |x − 500| = 8 → x − 500 = ±8, so x = 500 ± 8. Thus the dog can be between 492 m and 508 m from the house.

Answer: 492 meters and 508 meters.