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KonstantinChe [14]
3 years ago
9

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
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

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.

x-2=-1        ...(1)

x-2=1         ...(2)

Using (1) and (2),we get

|x-2|=1

Therefore, the correct option is C.

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