To determine Jayne's GPA, follow these steps:
### Step 1: Assign Grade Points
Let's assign the grade points as follows:
- A = 4 points
- B = 3 points
- C = 2 points
- D = 1 point
### Step 2: Weights of Classes
Jayne's AP classes count twice as much as her regular classes:
- AP class weight = 2
- Regular class weight = 1
### Step 3: List Classes and Grades
Jayne's grades are:
- AP English: C
- AP Government: B
- Algebra II: B
- Spanish: D
- Physics: A
### Step 4: Convert Grades to Points
Next, convert the grades into their respective points:
- AP English: C = 2 points
- AP Government: B = 3 points
- Algebra II: B = 3 points
- Spanish: D = 1 point
- Physics: A = 4 points
### Step 5: Calculate Weighted Points
Now, apply the weights to each class and sum the total points and total weights.
- AP English: [tex]\(2 \text{ points} \times 2 \text{ (AP weight)} = 4 \text{ weighted points}\)[/tex]
- AP Government: [tex]\(3 \text{ points} \times 2 \text{ (AP weight)} = 6 \text{ weighted points}\)[/tex]
- Algebra II: [tex]\(3 \text{ points} \times 1 \text{ (regular weight)} = 3 \text{ weighted points}\)[/tex]
- Spanish: [tex]\(1 \text{ point} \times 1 \text{ (regular weight)} = 1 \text{ weighted point}\)[/tex]
- Physics: [tex]\(4 \text{ points} \times 1 \text{ (regular weight)} = 4 \text{ weighted points}\)[/tex]
Now, we can calculate:
- Total Points = [tex]\(4 + 6 + 3 + 1 + 4 = 18\)[/tex]
- Total Weight = [tex]\(2 + 2 + 1 + 1 + 1 = 7\)[/tex]
### Step 6: Calculate GPA
Finally, calculate the GPA by dividing the total weighted points by the total weight:
[tex]\[ \text{GPA} = \frac{\text{Total Weighted Points}}{\text{Total Weight}} = \frac{18}{7} \approx 2.571 \][/tex]
Jayne's GPA is approximately [tex]\(2.57\)[/tex].
