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.
