A student camed grades of A, C, B A, 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 320 or greater, did this student make the dean's list? The student's GPA is square (Type an integer or decimal rounded to two decimal places as needed )

To compute the GPA, we need to calculate the total quality points for each course and then divide by the total number of credit hours.<br /><br />Step 1: Calculate the total quality points for each course.<br />- For the course with grade A (4 quality points) and 5 credit hours: $4 \times 5 = 20$ quality points<br />- For the course with grade C (2 quality points) and 4 credit hours: $2 \times 4 = 8$ quality points<br />- For the course with grade B (3 quality points) and 4 credit hours: $3 \times 4 = 12$ quality points<br />- For the course with grade A (4 quality points) and 3 credit hours: $4 \times 3 = 12$ quality points<br />- For the course with grade D (1 quality point) and 1 credit hour: $1 \times 1 = 1$ quality point<br /><br />Step 2: Calculate the total quality points for all courses.<br />$20 + 8 + 12 + 12 + 1 = 53$ quality points<br /><br />Step 3: Calculate the total number of credit hours for all courses.<br />$5 + 4 + 4 + 3 + 1 = 17$ credit hours<br /><br />Step 4: Calculate the GPA by dividing the total quality points by the total number of credit hours.<br />$GPA = \frac{53}{17} \approx 3.12$<br /><br />Therefore, the student's GPA is 3.12.<br /><br />To determine if the student made the dean's list, we compare the GPA to the required GPA of 3.20.<br /><br />Since the student's GPA of 3.12 is less than the required GPA of 3.20, the student did not make the dean's list.