Question

On average, Christopher scores 2 goals in a soccer game but, depending on how well the opposing team is playing, his goal total can vary from the average by 1 goal. Which absolute value equation can be used to calculate Christopher's maximum and minimum goals per game? Let x represent the maximum and minimum goals. |x−1|=2 |x−2|=1 |x+1|=2 |x+2|=1

Answer 1

I just finished the Quiz and the Correct answer is |x-2|=1

Explanation:

Answer 2

`|x-2|=1`

Explanation:

On average, Christopher scores 2 goals in a soccer game but, depending on how well the opposing team is playing, his goal total can vary from the average by 1 goal. So, the minimum number of goals is 2 - 1 = 1 goal and the maximum number of goals is 2 + 1 = 3 goals.

These calculations show that we have to go right or left from the average number of goals (2 goals) left or right 1 point (1 goal).

If x represent the maximum and minimum goals, then

• x - 2 = 1 (go to the right 1 unit)
• x - 2 = -1 (go to the left 1 unit)

Thus,

`|x-2|=1`