To find the grade point average (GPA), we follow these steps:
1. Identify the grade points associated with each grade:
- [tex]\(A = 4\)[/tex]
- [tex]\(B = 3\)[/tex]
- [tex]\(C = 2\)[/tex]
- [tex]\(D = 1\)[/tex]
- [tex]\(F = 0\)[/tex]
2. Determine the total number of credits and the total grade points earned:
- Math:
- Credits: 5
- Grade: A
- Grade Points: [tex]\(5 \times 4 = 20\)[/tex]
- English:
- Credits: 5
- Grade: B
- Grade Points: [tex]\(5 \times 3 = 15\)[/tex]
- Physics:
- Credits: 4
- Grade: F
- Grade Points: [tex]\(4 \times 0 = 0\)[/tex]
- German:
- Credits: 4
- Grade: D
- Grade Points: [tex]\(4 \times 1 = 4\)[/tex]
- History:
- Credits: 4
- Grade: F
- Grade Points: [tex]\(4 \times 0 = 0\)[/tex]
3. Calculate the total credits and the total grade points:
- Total Credits: [tex]\(5 + 5 + 4 + 4 + 4 = 22\)[/tex]
- Total Grade Points: [tex]\(20 + 15 + 0 + 4 + 0 = 39\)[/tex]
4. Compute the GPA:
- GPA [tex]\(= \frac{\text{Total Grade Points}}{\text{Total Credits}}\)[/tex]
- GPA [tex]\(= \frac{39}{22}\)[/tex]
- GPA [tex]\( \approx 1.77\)[/tex] (rounded to the nearest hundredth)
Thus, the grade point average (GPA) is [tex]\(1.77\)[/tex].
