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

in progress 0
Maris 3 years 2021-09-05T13:30:23+00:00 1 Answers 11 views 0

Answers ( )

    0
    2021-09-05T13:32:00+00:00

    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.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )