Question

What are the minimum and maximum distances that Morgan’s dog may be from the house? (Algebra ll) *URGENT*

Answer 1

Given:

The minimum and maximum distance that the dog may be from the house can be found by using the equation:

`|x-500|=8`

To find:

The minimum and maximum distance that the dog may be from the house.

Solution:

We have,

`|x-500|=8`

It can be written as:

`x-500=\pm 8`

Adding 500 on both sides, we get

`x=500\pm 8`

Now,

`x=500+8` and
`x=500-8`

`x=508` and
`x=492`

The minimum distance is 492 meters and the maximum distance is 508 meters.

Therefore, the correct option is C.