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## 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 fro

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?

|x−1|=2

|x+1|=2

|x−2|=1

|x+2|=1

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Mathematics
1 year
2021-09-05T13:30:23+00:00
2021-09-05T13:30:23+00:00 1 Answers
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## Answers ( )

Given:Christopher scores 2 goals in a soccer game.

His goal total can vary from the average by 1 goal.

To find:The absolute value equation can be used to calculate Christopher’s maximum and minimum goals per game.

Solution:Let Christopher scores x goals in a soccer game.

Then difference between actual goals and average goals is x-2.

His goal total can vary from the average by 1 goal.

Maximum number of goals = 2+1 = 3

Minimum number of goals = 2-1 = 1

It means, the difference between actual goals and average goals is either -1 and 1.

[tex]x-2=-1[/tex] …(1)

[tex]x-2=1[/tex] …(2)

Using (1) and (2),we get

[tex]|x-2|=1[/tex]

Therefore, the correct option is C.