Let's calculate the grade-point average (GPA) step-by-step for the given transcript.
Step 1: Assign numerical values to the grades based on the given scale:
- [tex]\(A = 4\)[/tex]
- [tex]\(B = 3\)[/tex]
- [tex]\(C = 2\)[/tex]
- [tex]\(D = 1\)[/tex]
- [tex]\(F = 0\)[/tex]
Step 2: Identify the grades and their corresponding credit hours:
- Grade B with 4 credit hours
- Grade B with 2 credit hours
- Grade B with 2 credit hours
- Grade C with 2 credit hours
Step 3: Multiply the numerical value of each grade by its corresponding credit hours to find the total grade points for each course:
- For the first course: [tex]\(3 \text{ (for B)} \times 4 \text{ credit hours} = 12\)[/tex]
- For the second course: [tex]\(3 \text{ (for B)} \times 2 \text{ credit hours} = 6\)[/tex]
- For the third course: [tex]\(3 \text{ (for B)} \times 2 \text{ credit hours} = 6\)[/tex]
- For the fourth course: [tex]\(2 \text{ (for C)} \times 2 \text{ credit hours} = 4\)[/tex]
Step 4: Add these products to get the total grade points:
[tex]\[ 12 + 6 + 6 + 4 = 28 \][/tex]
Step 5: Calculate the total number of credit hours:
[tex]\[ 4 + 2 + 2 + 2 = 10 \][/tex]
Step 6: Calculate the GPA by dividing the total grade points by the total number of credit hours:
[tex]\[ \text{GPA} = \frac{\text{Total Grade Points}}{\text{Total Credit Hours}} = \frac{28}{10} = 2.8 \][/tex]
Step 7: Round the GPA to the nearest hundredth:
- The GPA of 2.8 is already rounded to the nearest hundredth.
Therefore, the grade point average (GPA) is [tex]\(2.80\)[/tex].
