Answer :
To calculate the GPA (Grade Point Average) for the given transcript, we need to follow a systematic step-by-step process. Here is how it's done:
1. List the Grades and Corresponding Credit Hours:
[tex]\[ \begin{array}{|c|c|} \hline \text{Grade} & \text{Credit Hours} \\ \hline B & 5 \\ B & 4 \\ B & 2 \\ C & 3 \\ \hline \end{array} \][/tex]
2. Determine the Grade Points for Each Grade:
Using the given system:
[tex]\[ \begin{align*} A &= 4 \\ B &= 3 \\ C &= 2 \\ D &= 1 \\ F &= 0 \\ \end{align*} \][/tex]
3. Calculate the Weighted Grade Points for Each Course:
Multiply each grade's point value by the number of credit hours for that course.
[tex]\[ \begin{align*} \text{For Grade B (3 points) and 5 credit hours:} & \quad 3 \times 5 = 15 \\ \text{For Grade B (3 points) and 4 credit hours:} & \quad 3 \times 4 = 12 \\ \text{For Grade B (3 points) and 2 credit hours:} & \quad 3 \times 2 = 6 \\ \text{For Grade C (2 points) and 3 credit hours:} & \quad 2 \times 3 = 6 \\ \end{align*} \][/tex]
4. Sum the Weighted Grade Points:
Add all the products from the previous step.
[tex]\[ 15 + 12 + 6 + 6 = 39 \][/tex]
5. Calculate the Total Number of Credit Hours:
Sum all the credit hours.
[tex]\[ 5 + 4 + 2 + 3 = 14 \][/tex]
6. Compute the GPA:
Divide the total sum of the weighted grade points by the total number of credit hours.
[tex]\[ \text{GPA} = \frac{39}{14} \approx 2.7857142857142856 \][/tex]
7. Round the GPA to the Nearest Hundredth:
To match typical GPA reporting conventions, round the result to two decimal places.
[tex]\[ \text{GPA Rounded} \approx 2.79 \][/tex]
Therefore, the GPA for this transcript, rounded to the nearest hundredth, is 2.79.
1. List the Grades and Corresponding Credit Hours:
[tex]\[ \begin{array}{|c|c|} \hline \text{Grade} & \text{Credit Hours} \\ \hline B & 5 \\ B & 4 \\ B & 2 \\ C & 3 \\ \hline \end{array} \][/tex]
2. Determine the Grade Points for Each Grade:
Using the given system:
[tex]\[ \begin{align*} A &= 4 \\ B &= 3 \\ C &= 2 \\ D &= 1 \\ F &= 0 \\ \end{align*} \][/tex]
3. Calculate the Weighted Grade Points for Each Course:
Multiply each grade's point value by the number of credit hours for that course.
[tex]\[ \begin{align*} \text{For Grade B (3 points) and 5 credit hours:} & \quad 3 \times 5 = 15 \\ \text{For Grade B (3 points) and 4 credit hours:} & \quad 3 \times 4 = 12 \\ \text{For Grade B (3 points) and 2 credit hours:} & \quad 3 \times 2 = 6 \\ \text{For Grade C (2 points) and 3 credit hours:} & \quad 2 \times 3 = 6 \\ \end{align*} \][/tex]
4. Sum the Weighted Grade Points:
Add all the products from the previous step.
[tex]\[ 15 + 12 + 6 + 6 = 39 \][/tex]
5. Calculate the Total Number of Credit Hours:
Sum all the credit hours.
[tex]\[ 5 + 4 + 2 + 3 = 14 \][/tex]
6. Compute the GPA:
Divide the total sum of the weighted grade points by the total number of credit hours.
[tex]\[ \text{GPA} = \frac{39}{14} \approx 2.7857142857142856 \][/tex]
7. Round the GPA to the Nearest Hundredth:
To match typical GPA reporting conventions, round the result to two decimal places.
[tex]\[ \text{GPA Rounded} \approx 2.79 \][/tex]
Therefore, the GPA for this transcript, rounded to the nearest hundredth, is 2.79.