Question: Find the grade point average for the following semester grades. A=4, B=3, C=2, D=1, F=0. | Course…

Find the grade point average for the following semester grades. A=4, B=3, C=2, D=1, F=0.

Course	Credits	Grade
Math	5	A
English	5	D
Physics	2	B
German	4	A
History	4	C

Solution

To calculate the grade point average (GPA), we need to multiply each course’s credits by the grade’s point value, sum the results, and then divide by the total number of credits. Given: - A = 4, B = 3, C = 2, D = 1, F = 0 Course Information: - Math: 5 credits, Grade A - English: 5 credits, Grade D - Physics: 2 credits, Grade B - German: 4 credits, Grade A - History: 4 credits, Grade C Step 1: Calculate the grade points for each course: \[ \begin{cases} \text{Math: } 5 \times 4 = 20 & \\ \text{English: } 5 \times 1 = 5 & \\ \text{Physics: } 2 \times 3 = 6 & \\ \text{German: } 4 \times 4 = 16 & \\ \text{History: } 4 \times 2 = 8 & \end{cases} \] Step 2: Sum all the grade points: \[ 20 + 5 + 6 + 16 + 8 = 55 \] Step 3: Sum all the credits: \[ 5 + 5 + 2 + 4 + 4 = 20 \] Step 4: Calculate the GPA: \[ \text{GPA} = \frac{55}{20} = 2.75 \] So, the grade point average is 2.75.