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

Answer: The maximum distance is 508 and the minimum distance is 492.

Explanation:

It is given that 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 $|x-500|=8$.

So to find the maximum and minimum distance we have to solve the given equation.

$|x-500|=8$

Since the expression on left side is in modulus, s it can take values either positive or negative.

Case 1: If it is positive.

$x-500=8$

$x=508$

Case 2: If it is negative.

$-(x-500)=8$

$-x+500=8$

$x=492$

Since $492<508$, therefore the maximum distance is 508 and the minimum distance is 492.

Answer 2

Answer:

The answer is C)

Step-by-step explanation:

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