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Calculate the grade-point average (GPA) using the following method:

1. Multiply the number of credit hours for each course by the numerical value assigned to the grade.
2. Add these products together.
3. Divide the sum by the total number of credit hours.

Given data:
- Grade B, 4 credit hours
- Grade B, 3 credit hours
- Grade B, 3 credit hours
- Grade C, 3 credit hours

Grades are assigned values as follows:
- A = 4
- B = 3
- C = 2
- D = 1
- F = 0

Calculate the GPA for this transcript.

The grade point average is ______ (Round to the nearest hundredth as needed.)


Sagot :

Sure! Let's calculate the Grade Point Average (GPA) step-by-step for the provided transcript.

Here are the grades and their corresponding grade points:
- A = 4
- B = 3
- C = 2
- D = 1
- F = 0

### Transcript Data

| Grades | Credit Hours |
|--------|--------------|
| B | 4 |
| B | 3 |
| B | 3 |
| C | 3 |

### Step-by-Step Calculation

1. Assign grade points to each grade:
- B = 3
- B = 3
- B = 3
- C = 2

2. Multiply each grade point by its corresponding credit hours to find the total grade points:
- [tex]\( (3 \times 4) = 12 \)[/tex]
- [tex]\( (3 \times 3) = 9 \)[/tex]
- [tex]\( (3 \times 3) = 9 \)[/tex]
- [tex]\( (2 \times 3) = 6 \)[/tex]

3. Sum the total grade points:
- [tex]\( 12 + 9 + 9 + 6 = 36 \)[/tex]

4. Sum the total credit hours:
- [tex]\( 4 + 3 + 3 + 3 = 13 \)[/tex]

5. Calculate the GPA by dividing the sum of total grade points by the sum of total credit hours:
- [tex]\( \text{GPA} = \frac{36}{13} \approx 2.77 \)[/tex]

6. Round the GPA to the nearest hundredth:
- The GPA is 2.77

### Conclusion

The grade point average (GPA) for this transcript is [tex]\( \boxed{2.77} \)[/tex].