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.