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
A
496 meters and 500 meters
B
500 meters and 508 meters
C
492 meters and 508 meters
D
496 meters and 504 meters
Explanation
The leash lets the dog be as much as 8 meters closer to or farther from the house than Morgan is. Solving |x − 500| = 8 gives x = 500 − 8 = 492 or x = 500 + 8 = 508, so the minimum and maximum distances are 492 meters and 508 meters (choice C).
AI-written and checked against the verified answer.