Question

The grades in period 3 algebra 2 have an average of 82 nd vary by 12 percentage points. formulate an absolute value equation that could be used to solve for the maximum and minimum grade.

Answer 1

The absolute value equation used to solve this problem: | x - 82 | = 12, where x = grade.

What is an absolute value equation?

• A statement that contains an absolute value is known as an absolute value equation.
• The absolute value contains the variable of the equation.

Now,

Given:

• The average of grades = 82%
• Variation = 12%

Let 'x' be the value that gives the value of grades.

The absolute value equation to find the grades will be given by: | x - 82 | = 12

=> x - 82 = ± 12

For maximum value of the grades, x - 82 = 12

=> x = 82 + 12

=> x = 94.

For minimum value of the grades, x - 82 = -12

=> x = 82 - 12

=> x = 70.

Hence, The absolute value equation used to solve this problem: | x - 82 | = 12, where x = grade.

To learn more about absolute value equation, refer to the link: brainly.com/question/5012769

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