D. 496 meters and 504 meters
To find the minimum distance, we can solve for x in the equation |x - 500| = 8:
x - 500 = 8
x = 508
So, the minimum distance the dog may be from the house is 508 meters.
To find the maximum distance, we can solve for x if we multiply by -1:
-(x - 500) = 8
- x + 500 = 8
- x = -492
x = 492
So, the maximum distance the dog may be from the house is 492 meters.
Therefore, the minimum distance is 492 meters and the maximum distance is 508 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 Morgan’s dog may be from the house?
A.496 meters and 500 meters
B.500 meters and 508 meters
C.492 meters and 508 meters
D.496 meters and 504 meters
1 answer