a student earned grades of b, c, a, b, and d. those courses had these corresponding numbers of credit…

a student earned grades of b, c, a, b, and d. those courses had these corresponding numbers of credit - hours: 5, 3, 5, 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 deans list requires a gpa of 2.90 or greater, did this student make the deans list? the students gpa is _. (type an integer or decimal rounded to two decimal places as needed.) this student make the deans list because their gpa is 2.90.

a student earned grades of b, c, a, b, and d. those courses had these corresponding numbers of credit - hours: 5, 3, 5, 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 deans list requires a gpa of 2.90 or greater, did this student make the deans list? the students gpa is _. (type an integer or decimal rounded to two decimal places as needed.) this student make the deans list because their gpa is 2.90.

Answer

Explanation:

Step1: Recall GPA formula

GPA = $\frac{\sum_{i = 1}^{n}(Grade - points_i\times Credit - hours_i)}{\sum_{i = 1}^{n}Credit - hours_i}$ The grade - points for B = 3, C = 2, A = 4, B = 3, D = 1. The credit - hours are 5, 3, 5, 3, 1 respectively.

Step2: Calculate the numerator

$\sum_{i = 1}^{n}(Grade - points_i\times Credit - hours_i)=(3\times5)+(2\times3)+(4\times5)+(3\times3)+(1\times1)$ $=15 + 6+20 + 9+1$ $=51$

Step3: Calculate the denominator

$\sum_{i = 1}^{n}Credit - hours_i=5 + 3+5 + 3+1=17$

Step4: Calculate GPA

GPA=$\frac{51}{17}=3.00$

Step5: Compare with dean's list requirement

Since the dean's list requires a GPA of 2.90 or greater and the calculated GPA is 3.00.

Answer:

The student made the dean's list. The student's GPA is 3.00.