Question

a student earned grades of b, c, a, b, and d. those courses had these corresponding numbers of credit hours: 5, 4, 4, 3, and 1. the grading system assigns quality points to letter grades as follows: a=4, b=3, c=2, d=1, f=0. compute the grade - point average (gpa). if the dean’s list requires a gpa of 3.00 or greater, did this student make the dean’s list? the student’s gpa is \boxed{}. (type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Identify quality points and credit hours

Grades: B (3), C (2), A (4), B (3), D (1)
Credit hours: 5, 4, 4, 3, 1

Step2: Calculate total quality points

For each course:

• B (3) & 5 hrs: \( 3 \times 5 = 15 \)
• C (2) & 4 hrs: \( 2 \times 4 = 8 \)
• A (4) & 4 hrs: \( 4 \times 4 = 16 \)
• B (3) & 3 hrs: \( 3 \times 3 = 9 \)
• D (1) & 1 hr: \( 1 \times 1 = 1 \)

Total quality points: \( 15 + 8 + 16 + 9 + 1 = 49 \)

Step3: Calculate total credit hours

Total credit hours: \( 5 + 4 + 4 + 3 + 1 = 17 \)

Step4: Compute GPA

GPA = \( \frac{\text{Total Quality Points}}{\text{Total Credit Hours}} = \frac{49}{17} \approx 2.88 \)

Answer:

2.88