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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
3 years
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.
…(1)
…(2)
Using (1) and (2),we get
Therefore, the correct option is C.