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

492 - 508

Explanation:

the dog can be 8 m ahead of megan = 492 m from home

the dog can be 8 m behind Megan = 508 m from home

x-500 = 8

x = 508 m

or - (x-500) = 8

-x + 500 = 8

-x = - 492

x = 492 m