Given:
The minimum and maximum distance that the dog may be from the house can be found by using the equation:
[tex]|x-500|=8[/tex]
To find:
The minimum and maximum distance that the dog may be from the house.
Solution:
We have,
[tex]|x-500|=8[/tex]
It can be written as:
[tex]x-500=\pm 8[/tex]
Adding 500 on both sides, we get
[tex]x=500\pm 8[/tex]
Now,
[tex]x=500+8[/tex] and [tex]x=500-8[/tex]
[tex]x=508[/tex] and [tex]x=492[/tex]
The minimum distance is 492 meters and the maximum distance is 508 meters.
Therefore, the correct option is C.
