Question

a student earned grades of b, b, a, c, and d. those courses had these corresponding numbers of credit hours: 4, 5, 1, 5, 4. the grading system assigns quality points to letter grades as follows: a=4, b=3, c=2, d=1, and f=0. compute the grade point average (gpa) and round the result to two decimal places. a. 3.46 b. 1.37 c. 2.37 d. 9.00

Explanation:

Step1: Identify grades, credit hours, and quality points

Grades: B, B, A, C, D, F (wait, the problem says "grades of B, B, A, C, and D" and "F = 0"—maybe the credit hours are 4, 5, 1, 5, 4? Wait, let's parse:

Wait, the student earned grades: B, B, A, C, D, and F? Wait, the problem says: "A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4, 5, 1, 5, 4. The grading system assigns quality points... F = 0." Wait, maybe there's a typo, but let's check the credit hours: 4 (B), 5 (B), 1 (A), 5 (C), 4 (D), and F with 0? Wait, no, the problem says "grades of B, B, A, C, and D"—so 5 courses? Wait, credit hours: 4,5,1,5,4—so 5 courses. Wait, but F is mentioned as 0, maybe a mistake. Wait, let's proceed with the given:

Grades: B (2 times), A (1), C (1), D (1). Credit hours: 4,5,1,5,4.

Quality points: A=4, B=3, C=2, D=1, F=0.

Step2: Calculate total quality points

For each course:

• B (4 credit hours): \( 3 \times 4 = 12 \)
• B (5 credit hours): \( 3 \times 5 = 15 \)
• A (1 credit hour): \( 4 \times 1 = 4 \)
• C (5 credit hours): \( 2 \times 5 = 10 \)
• D (4 credit hours): \( 1 \times 4 = 4 \)

Total quality points: \( 12 + 15 + 4 + 10 + 4 = 45 \)

Step3: Calculate total credit hours

Total credit hours: \( 4 + 5 + 1 + 5 + 4 = 19 \)

Step4: Calculate GPA

GPA = \( \frac{\text{Total Quality Points}}{\text{Total Credit Hours}} = \frac{45}{19} \approx 2.368 \approx 2.37 \) (rounded to two decimal places)

Answer:

C. 2.37