Questions: A student earned grades of A, B, B, C, and D. Those courses had these corresponding numbers of credit hours: 4, 4, 4, 3, and 2. 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 (Type an integer or decimal rounded to two decimal places as needed.) This student make the dean's list because their GPA is 3.00.

Solution Steps

To compute the GPA, we need to:

1. Convert the letter grades to quality points.
2. Multiply each quality point by the corresponding credit hours to get the total quality points.
3. Sum the total quality points and the total credit hours.
4. Divide the total quality points by the total credit hours to get the GPA.
5. Compare the GPA to 3.00 to determine if the student made the dean's list.

We start by converting the letter grades to their corresponding quality points using the given grading system:

• \( A = 4 \)
• \( B = 3 \)
• \( C = 2 \)
• \( D = 1 \)
• \( F = 0 \)

Next, we multiply each quality point by the corresponding credit hours and sum the results to get the total quality points: \[ \text{Total Quality Points} = (4 \times 4) + (3 \times 4) + (3 \times 4) + (2 \times 3) + (1 \times 2) = 16 + 12 + 12 + 6 + 2 = 48 \]

We sum the credit hours to get the total credit hours: \[ \text{Total Credit Hours} = 4 + 4 + 4 + 3 + 2 = 17 \]

We divide the total quality points by the total credit hours to compute the GPA: \[ \text{GPA} = \frac{\text{Total Quality Points}}{\text{Total Credit Hours}} = \frac{48}{17} \approx 2.8235 \]

We compare the GPA to 3.00 to determine if the student made the dean's list: \[ 2.8235 < 3.00 \] Thus, the student did not make the dean's list.

Final Answer