Question

During each of the first three quarters of the school year, Melissa earned a grade point average of 21, 29. and 31

What does her 4th quarter grade point average need to be in order to raise her grade to a 3.0 cumulative grade
point average?
A 3.9
B. 4.2
C. 2.6
D. 3.5

Answer 1

Melissa needs to earn a 78 grade point average in her 4th quarter to raise her grade to a 3.0 cumulative grade point average.

Step-by-step explanation:

In order to calculate Melissa's 4th quarter grade point average needed to raise her cumulative grade point average to a 3.0, we need to find the average of all four quarters. Here's how you can do it:

1. Add up her grade point averages for the first three quarters: 21 + 29 + 31 = 81.
2. Next, we need to find out how much higher her 4th quarter grade point average needs to be to reach a cumulative average of 3.0. We can subtract the desired cumulative average from the sum of the first three quarters: 3.0 - 81 = -78.
3. To find the grade point average for the fourth quarter, Melissa needs to earn a total of 78 points. Since there is only one grade left, we divide the required total by 1: 78 ÷ 1 = 78.

Therefore, Melissa needs to earn a 78 grade point average in her 4th quarter to raise her grade to a 3.0 cumulative grade point average.

Answer 2

A. 3.9

Step-by-step explanation:

If Melissa scores a grade point average in the fourth quarter of 3.9, the the sum of all of her grade point averages would be 12, and that divided by 4 would make the average 3, giving her a grade point average of 3.