Question

The grades in period 3 Algebra 2 have an average of 82% and vary by 12 percentage points. Formulate an absolute value equation that could be used to solve for the maximum and minimum grade.
|x______ | = _______

x = __________ (smaller number here)

x = _______ (larger nember here)

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Answer 1

Answer:

$|x - 85| = 12$

$x = 73 \ (smaller\ number )$

$x = 97 \ (larger \ number )$

Step-by-step explanation:

From the question we are told that

  The  grade is  $k = 85\%$

   The  variation is  $v = 12 \%$

Generally the absolute value equation is mathematically represented as

        $|x - 85| = 12$

=>  $x -85 = \pm 12$

So

    $x = 85 + 12$

    $x = 97 \ (larger \ number )$

And

     $x = -12 + 85$

=>  $x = 73 \ (smaller\ number )$