Question

a student earned grades of b, c, a, b, and d. those courses had these corresponding numbers of credit hours: 5, 3, 3, 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: Calculate total quality points

For each grade, multiply the quality points by the credit hours and sum them.

• B (3) with 5 hours: \(3\times5 = 15\)
• C (2) with 3 hours: \(2\times3 = 6\)
• A (4) with 3 hours: \(4\times3 = 12\)
• B (3) with 3 hours: \(3\times3 = 9\)
• D (1) with 1 hour: \(1\times1 = 1\)

Total quality points: \(15 + 6 + 12 + 9 + 1 = 43\)

Step2: Calculate total credit hours

Sum the credit hours: \(5 + 3 + 3 + 3 + 1 = 15\)

Step3: Compute GPA

GPA is total quality points divided by total credit hours: \(\frac{43}{15} \approx 2.87\)

Answer:

2.87

To determine if the student made the dean's list: Since the dean's list requires a GPA of 3.00 or greater, and the student's GPA is approximately 2.87 which is less than 3.00, the student did not make the dean's list. But for the GPA value, the answer is 2.87.