morgan is walking her dog on an 8 - meter - long leash. she is currently 500 meters from her house, so the…

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 morgans dog may be from the house?\n496 meters and 500 meters\n500 meters and 508 meters\n492 meters and 508 meters\n496 meters and 504 meters

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 morgans dog may be from the house?\n496 meters and 500 meters\n500 meters and 508 meters\n492 meters and 508 meters\n496 meters and 504 meters

Answer

Answer:

C. 492 meters and 508 meters

Explanation:

Step1: Analyze the absolute - value equation

The equation (|x - 500|=8) represents the possible distances (x) of the dog from the house.

Step2: Solve for the two cases

Case 1: (x−500 = 8), then (x=500 + 8=508). Case 2: (x−500=-8), then (x=500 - 8 = 492). So the minimum distance is 492 meters and the maximum distance is 508 meters.