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−2|=1 |x+2|=1 |x−1|=2 |x+1|=2.

Answer 1

Jorge, do your own work

Answer 2

Explanation:

On average Christopher scores 2 goals per game

If the play is hard his goal total varies by 1 from the average

If the play is easy his goal total varies by 1 from the average

That is Christopher can score 1 goal more or 1 goal less depending upon the opponent team

He score maximum goals of 3 in a game or 1 in a game

The equation |x-2| = 1

When x = 3

|3-2| = 1

|1| = 1 True

When x = 1

|1-2| = 1

|-1| = 1

1 = 1 True