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

Answer 1

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.