Question

Heather received grades of 80, 75, and 86 on 3

math 1 tests. What is lowest grade she can
receive on the next test if she wants her average
for the four test to be at least an 82?
Define your variable

Answer 1

87

Explanation:

We know Heather recieved grades of 80, 75 and 86.

Let's find her average on those 3 tests.

80 + 75 + 86 = 241 Since there are 3 tests we divide by 3.

241/3 = 80.3333 Is her aveerage on the first 3 tests.

She need to average 82 so we can write an equation with t being the score on her 4th test.

`(80 + 75 + 86 + t)/(4) = 82`

`(241 + t)/(4) = 82` Multiply each side by 4

(
`(241+t)/(4)`) * 4 = 82 * 4 4 on the left will cancel

241 + t = 328 Subtract 241 from each side

241 - 241 + t = 328 - 241

t = 328 - 241

t = 87

Heather must get an 87 to have an average score of 82.