Joan has earned grades of 88, 94, 92, and 98 on math tests so far. What must her next grade be to give her an average grade of 60?

Respuesta :

Answer:

see the explanation

Step-by-step explanation:

Let

x ------> the next grade

we know that

To find the average grade sum the grades by the number of math test

so

[tex]60=\frac{(88+94+92+98+x)}{5}[/tex]

solve for x

Combine liker terms in the right side  

[tex]60=\frac{(372+x)}{5}[/tex]

Multiply by 5 both sides

[tex]300=372+x[/tex]

Subtract 372 both sides

[tex]300=372+x[/tex]

[tex]x=-72[/tex] -----> this is not make sense

The grade cannot be a negative number

so

For x=0

The minimum average grade is

[tex]\frac{(372)}{5}=74.4[/tex]