Question

in one semester, a student received the 15 credits shown in the table. grades are weighted so that a=4.0; a−=3.7; b+=3.4; b=3.0; and b−=2.7. find the student’s gpa for the semester. the student’s gpa is \boxed{}. (type an integer or decimal rounded to the nearest hundredth as needed.)

course | credits | grade
math 108 | 4 | a
comparative religion 121 | 4 | a
spanish 321 | 3 | b
astronomy 111 | 3 | a−
astronomy lab 112 | 1 | a

Explanation:

Step1: Assign grade points

• Math 108: 4 credits, Grade A (4.0). Points: \(4 \times 4.0 = 16.0\)
• Comparative Religion 121: 4 credits, Grade A (4.0). Points: \(4 \times 4.0 = 16.0\)
• Spanish 321: 3 credits, Grade B (3.0). Points: \(3 \times 3.0 = 9.0\)
• Astronomy 111: 3 credits, Grade A− (3.7). Points: \(3 \times 3.7 = 11.1\)
• Astronomy Lab 112: 1 credit, Grade A (4.0). Points: \(1 \times 4.0 = 4.0\)

Step2: Calculate total points

Sum all points: \(16.0 + 16.0 + 9.0 + 11.1 + 4.0 = 56.1\)

Step3: Calculate total credits

Sum all credits: \(4 + 4 + 3 + 3 + 1 = 15\)

Step4: Compute GPA

GPA = \(\frac{\text{Total Points}}{\text{Total Credits}} = \frac{56.1}{15} = 3.74\)

Answer:

3.74