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

minimum is 492 meters and 508 meters

Explanation:

Answer 2

Given that the function representing the distance of the dog from the house is |x-500|=8
this can be written as:
+\-(x-500)=8
therefore the maximum distance the dog could be from the house is given by:
+(x-500)=8
x-500=8
x=500+8
x=508 meters
the minimum distance will be:
-(x-500)=8
x-500=-8
x=500-8
x=792
the minimum distance is 792 meters