A student earned grades of Upper A​, Upper B​, Upper B​, Upper C​, and Upper D. Those courses had these corresponding numbers of credit​ hours: 4​, 3​, 4​, 3​, and 2. The grading system assigns quality points to letter grades as​ follows: Aequals​4; Bequals​3; Cequals​2; Dequals​1; Fequals0. Compute the​ grade-point average​ (GPA). If the​ dean's list requires a GPA of 3.00 or​ greater, did this student make the​ dean's list?


To calculate the Grade-Point Average (GPA), we use the following formula:

\[
\text{GPA} = \frac{\sum (\text{Quality Points} \times \text{Credit Hours})}{\sum \text{Credit Hours}}
\]

### Step-by-Step Solution:

#### 1. **Assign Quality Points to Each Grade:**
   - A = 4 quality points
   - B = 3 quality points
   - C = 2 quality points
   - D = 1 quality point

#### 2. **List the Grades and Corresponding Credit Hours:**
   - A (4 credit hours) → 4 quality points
   - B (3 credit hours) → 3 quality points
   - B (4 credit hours) → 3 quality points
   - C (3 credit hours) → 2 quality points
   - D (2 credit hours) → 1 quality point

#### 3. **Calculate the Total Quality Points for Each Course:**
   Multiply the quality points by the credit hours for each course:
   - \( A: 4 \times 4 = 16 \)
   - \( B: 3 \times 3 = 9 \)
   - \( B: 3 \times 4 = 12 \)
   - \( C: 2 \times 3 = 6 \)
   - \( D: 1 \times 2 = 2 \)

#### 4. **Sum the Total Quality Points and Credit Hours:**
   - Total quality points = \( 16 + 9 + 12 + 6 + 2 = 45 \)
   - Total credit hours = \( 4 + 3 + 4 + 3 + 2 = 16 \)

#### 5. **Compute the GPA:**
   \[
   \text{GPA} = \frac{45}{16} = 2.8125
   \]

### Conclusion:
The student's GPA is **2.8125**.

Since the GPA is less than 3.00, the student did **not** make the dean's list.

---

Would you like further details or have any questions? Here are some related questions:

1. How do weighted GPAs differ from regular GPAs?
2. What strategies can help improve a student's GPA quickly?
3. How does taking more credit hours affect GPA calculation?
4. Can repeating a course impact a student’s GPA significantly?
5. How do different universities handle borderline GPAs for honors or dean’s lists?

**Tip:** Consistently earning higher grades in courses with more credit hours has a larger impact on improving your GPA.

A student earned grades of Upper A​, Upper B​, Upper B​, Upper C​, and Upper D. Those courses had these corresponding numbers of credit​ hours: 4​, 3​, 4​, 3​, and 2. The grading system assigns quality points to letter grades as​ follows: A equals​ 4; B equals​ 3; C equals​ 2; D equals​ 1; F equals 0. Compute the​ grade-point average​ (GPA). If the​ dean's list requires a GPA of 3.00 or​ greater, did this student make the​ dean's list?

Learn how to calculate GPA using letter grades (A, B, C, D) and corresponding credit hours. This detailed example shows how to compute the GPA, including the key formula and step-by-step solution. Suitable for high school students (Grades 9-12).

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