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Calculate the grade point average:

An "A" is considered 4.0, a "B" is 3.0, a "C" is 2.0, a "D" is 1.0, and an "F" is 0.

If in your first semester, you received the following grades, what would your grade point average be? Round to the hundredths place.

| Course | Credits | Grade |
|---------|---------|-------|
| ENGL | 3.0 | A |
| BIOL | 4.0 | D |
| COMM | 3.0 | B |
| Seminar | 1.0 | A |

Sagot :

GinnyAnswer
Let's calculate the grade point average (GPA) based on the given grades and credit hours for each course.

1. List the courses with their respective credit hours and grades:
- ENGL: 3.0 credits, Grade A (4.0)
- BIOL: 4.0 credits, Grade D (1.0)
- COMM: 3.0 credits, Grade B (3.0)
- Seminar: 1.0 credit, Grade A (4.0)

2. Calculate the total grade points for each course:
Grade points are calculated by multiplying the grade point value by the number of credits for each course.
- ENGL: [tex]\( 3.0 \text{ credits} \times 4.0 \text{ (A)} = 12.0 \text{ grade points} \)[/tex]
- BIOL: [tex]\( 4.0 \text{ credits} \times 1.0 \text{ (D)} = 4.0 \text{ grade points} \)[/tex]
- COMM: [tex]\( 3.0 \text{ credits} \times 3.0 \text{ (B)} = 9.0 \text{ grade points} \)[/tex]
- Seminar: [tex]\( 1.0 \text{ credit} \times 4.0 \text{ (A)} = 4.0 \text{ grade points} \)[/tex]

3. Sum the total grade points:
[tex]\[ 12.0 \text{ (ENGL)} + 4.0 \text{ (BIOL)} + 9.0 \text{ (COMM)} + 4.0 \text{ (Seminar)} = 29.0 \text{ total grade points} \][/tex]

4. Sum the total credits:
[tex]\[ 3.0 \text{ (ENGL)} + 4.0 \text{ (BIOL)} + 3.0 \text{ (COMM)} + 1.0 \text{ (Seminar)} = 11.0 \text{ total credits} \][/tex]

5. Calculate the GPA:
The GPA is calculated by dividing the total grade points by the total credits.
[tex]\[ \frac{29.0 \text{ total grade points}}{11.0 \text{ total credits}} = 2.64 \][/tex]

6. Round the GPA to the hundredths place:
The GPA is already rounded to the hundredths place in this case, so it remains 2.64.

Therefore, the grade point average (GPA) for your first semester is 2.64.
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