Final answer:
To calculate Athena's GPA, we assigned each grade a GPA value and calculated the products for each course. The total GPA units (45.3) were divided by the total course units (13), resulting in an overall GPA of approximately 3.48.
Step-by-step explanation:
To calculate Athena's Grade Point Average (GPA) for her courses, we need to assign each grade its corresponding GPA value:
- A = 4.0
- A- = 3.7
- B+ = 3.3
- B = 3.0
For each course, we multiply the GPA value by the course unit, and then we sum these totals and divide by the total number of units to get the average GPA.
- English: 3 units x 3.7 (A-) = 11.1
- Philosophy: 3 units x 3.0 (B) = 9.0
- Mathematics: 4 units x 3.3 (B+) = 13.2
- Elective: 3 units x 4.0 (A) = 12.0
To find the overall GPA, add these totals and then divide by the total units:
Total GPA units = 11.1 + 9.0 + 13.2 + 12.0
= 45.3
Total course units = 3 + 3 + 4 + 3
= 13 units
Overall GPA = Total GPA units / Total course units
= 45.3 / 13
≈ 3.48
Athena's GPA for these courses, rounded to the hundredths space, is 3.48.