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)

Blank 1:
Blank 2:
Blank 3:
Blank 4:

Answer 1

`|x - 85| = 12`

`x = 73 \ (smaller\ number )`

`x = 97 \ (larger \ number )`

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 )`