Question

calculate the gpa of the student from the tables below. use the technique of finding a weighted average.

course	credit hours	grade received
english	3	b
chemistry	4	c
french	3	d
calculus ii	4	a

grade scale
a=4
b=3
c=2
d=1
f=0

give answer to two decimal places:
gpa:

Explanation:

Step1: Assign grade points

For each course, assign grade points based on the grade scale:

• Physics II: Grade A, so grade points = 4, credit hours = 4. Weighted points = \(4\times4 = 16\)
• English: Grade B, so grade points = 3, credit hours = 3. Weighted points = \(3\times3 = 9\)
• Chemistry: Grade C, so grade points = 2, credit hours = 4. Weighted points = \(2\times4 = 8\)
• French: Grade D, so grade points = 1, credit hours = 3. Weighted points = \(1\times3 = 3\)
• Calculus II: Grade A, so grade points = 4, credit hours = 4. Weighted points = \(4\times4 = 16\)

Step2: Calculate total weighted points and total credit hours

Total weighted points = \(16 + 9 + 8 + 3 + 16 = 52\)
Total credit hours = \(4 + 3 + 4 + 3 + 4 = 18\)

Step3: Calculate GPA

GPA is the weighted average, so \(GPA=\frac{\text{Total Weighted Points}}{\text{Total Credit Hours}}=\frac{52}{18}\approx2.89\) (rounded to two decimal places)

Answer:

\(2.89\)