https://file.aiquickdraw.com/mathbot/file/1726893888975apz0iqno.jpg

The problem in your image is about calculating a student's grade-point average (GPA) based on the provided credit hours and grades. Here's how we can solve it step by step:

1. **Determine the quality points for each grade**:
   - A = 6 points
   - B = 4 points
   - C = 2 points
   - D = 1 point

2. **Multiply the quality points by the respective credit hours** to calculate the weighted points for each course:
   - 5 credit hours with grade A: \( 5 \times 6 = 30 \)
   - 3 credit hours with grade B: \( 3 \times 4 = 12 \)
   - 4 credit hours with grade C: \( 4 \times 2 = 8 \)
   - 2 credit hours with grade D: \( 2 \times 1 = 2 \)
   - 2 credit hours with grade D: \( 2 \times 1 = 2 \)
   - 4 credit hours with grade C: \( 4 \times 2 = 8 \)

3. **Add the total weighted points**: 
   \[
   30 + 12 + 8 + 2 + 2 + 8 = 62
   \]

4. **Add the total credit hours**:
   \[
   5 + 3 + 4 + 2 + 2 + 4 = 20
   \]

5. **Calculate the GPA** using the formula:
   \[
   \text{GPA} = \frac{\text{Total weighted points}}{\text{Total credit hours}} = \frac{62}{20} = 3.10
   \]

Thus, the student's grade-point average is **3.10**.

Would you like further details or have any other questions?

Here are 5 questions you could explore:
1. What if one of the grades was an "F" worth 0 points?
2. How would GPA change if the credit hours for each course were doubled?
3. How is a cumulative GPA calculated over multiple semesters?
4. Why is GPA weighted by credit hours?
5. What impact does a grade in a high-credit course have on the overall GPA?

**Tip**: Always double-check the weighted points to avoid small calculation mistakes in GPA problems.

The course credit hours and grades for a student's fall semester at college are given in the table below. At the college, an A is worth six quality points, a B four points, a C two points, and a D one point. The grade-point average at the college is calculated as a weighted average, with quality points for each course weighted by the credit hours for that course. What is the student's grade-point average?

Learn how to calculate a student's GPA based on weighted averages of credit hours and grades. This problem involves determining the total weighted points for each grade and dividing by the total credit hours. Follow the step-by-step guide to calculate a GPA of 3.10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation