To calculate the Grade Point Average (GPA) for the student based on the given courses, credits, and grades, we need to follow a methodical step-by-step approach. Here it is:
1. Identify the Grade Points and Credits for Each Grade:
- "A" is worth 4.0 points.
- "B" is worth 3.0 points.
- "C" is worth 2.0 points.
- "D" is worth 1.0 points.
- "F" is worth 0 points.
2. List the Courses, Credits, and Grades:
- Math: 3.0 credits, Grade A (4.0 points)
- Psychology: 3.0 credits, Grade B (3.0 points)
- Science: 4.0 credits, Grade D (1.0 point)
- New Student Seminar: 1.0 credit, Grade C (2.0 points)
3. Calculate the Quality Points for Each Course:
- Math: [tex]\(3.0 \, \text{credits} \times 4.0 \, \text{points} = 12.0 \, \text{quality points}\)[/tex]
- Psychology: [tex]\(3.0 \, \text{credits} \times 3.0 \, \text{points} = 9.0 \, \text{quality points}\)[/tex]
- Science: [tex]\(4.0 \, \text{credits} \times 1.0 \, \text{point} = 4.0 \, \text{quality points}\)[/tex]
- New Student Seminar: [tex]\(1.0 \, \text{credit} \times 2.0 \, \text{points} = 2.0 \, \text{quality points}\)[/tex]
4. Sum the Total Quality Points and the Total Credits:
- Total Quality Points: [tex]\(12.0 + 9.0 + 4.0 + 2.0 = 27.0 \, \text{quality points}\)[/tex]
- Total Credits: [tex]\(3.0 + 3.0 + 4.0 + 1.0 = 11.0 \, \text{credits}\)[/tex]
5. Calculate the GPA:
- GPA = Total Quality Points / Total Credits
- GPA = [tex]\(27.0 \, \text{quality points} / 11.0 \, \text{credits} \approx 2.4545454545454546\)[/tex]
Therefore, the student's GPA for that semester is approximately 2.455.
Among the given choices, the correct GPA is [tex]\( 2.455 \)[/tex].
