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Calculate the GPA for the given transcript:

In one common system for finding a grade-point average (GPA):
[tex]\[
A = 4, B = 3, C = 2, D = 1, F = 0.
\][/tex]

The GPA is calculated by multiplying the number of credit hours for a course by the number assigned to each grade, adding these products, and then dividing this sum by the total number of credit hours. Because each course grade is weighted according to the number of credits of the course, GPA is called a weighted mean.

Use the following transcript to calculate the GPA:
[tex]\[
\begin{tabular}{|cc|}
\hline
Grades & \# of credit hours \\
\hline
B & 4 \\
B & 2 \\
B & 2 \\
C & 2 \\
\hline
\end{tabular}
\][/tex]

The grade point average is [tex]$\square \square$[/tex]. (Round to the nearest hundredth as needed.)



Answer :

GinnyAnswer
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].