87.5k views
3 votes
Suppose that last semester your semester GPA was 3.70 and your resulting cumulative GPA was 2.81. ​Next, suppose that this semester your semester GPA will be 3.20. If​ so, then your cumulative GPA

1 Answer

4 votes

Final Answer:

If your semester GPA for this semester is 3.20, your cumulative GPA will likely be higher than the current 2.81.

Step-by-step explanation:

The cumulative GPA is the overall average of all your semester GPAs. To calculate the new cumulative GPA, we need to consider the impact of the new semester GPA on the cumulative average. The formula for calculating cumulative GPA involves multiplying each semester GPA by the number of credits for that semester, summing these values across all semesters, and then dividing by the total number of credits.

Given that last semester's GPA was 3.70 and the cumulative GPA was 2.81, we can assume a constant number of credits for simplicity. Let C be the constant number of credits, then the current cumulative grade points are 2.81C. If this semester's GPA is 3.20, the additional grade points will be 3.20C. The new cumulative grade points will be the sum of the current cumulative grade points and the additional grade points. Thus, the new cumulative GPA is (2.81C + 3.20C) / 2C = 5.01 / 2 = 2.505.

Therefore, if your semester GPA for this semester is 3.20, your cumulative GPA is expected to rise to approximately 2.505. This assumes a constant number of credits for each semester. Keep in mind that if the number of credits varies between semesters, the calculation would involve considering the weighted average of each semester's GPA based on the respective credit hours.

User Jacqijvv
by
7.4k points