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Part 1
Patty has just completed her second semester in college. She earned a grade of Upper D in her 2​-hour linear algebra ​course, a grade of Upper D in her 3​-hour psychology ​course, a grade of Upper A in her 5​-hour engineering ​course, and a grade of Upper B in her 5​-hour philosophy course. Assuming that A equals 4​ points, B equals 3​ points, C equals 2​ points, D equals 1​ point, and F is worth no​ points, determine Patty​'s ​grade-point average for the semester.

To calculate Patty's grade-point average (GPA) for the semester, we follow these steps:

1. **Assign points to each grade** according to the scale provided:
   - \( A = 4 \) points
   - \( B = 3 \) points
   - \( D = 1 \) point

2. **Multiply the points by the course hours** for each class:
   - Linear algebra (2-hour course, grade D): \( 1 \times 2 = 2 \) points
   - Psychology (3-hour course, grade D): \( 1 \times 3 = 3 \) points
   - Engineering (5-hour course, grade A): \( 4 \times 5 = 20 \) points
   - Philosophy (5-hour course, grade B): \( 3 \times 5 = 15 \) points

3. **Add up the total points**:
   \[
   2 + 3 + 20 + 15 = 40
   \]

4. **Add up the total course hours**:
   \[
   2 + 3 + 5 + 5 = 15
   \]

5. **Calculate the GPA** by dividing the total points by the total course hours:
   \[
   GPA = \frac{40}{15} = 2.67
   \]

Thus, Patty's GPA for the semester is **2.67**.

Would you like further details or have any questions? Here are five related questions to expand your understanding:

1. How does GPA scaling affect different grading systems across colleges?
2. What would happen if Patty received an F in one of her courses? How would it impact her GPA?
3. How does credit-hour weight influence overall GPA calculations?
4. What are common GPA requirements for scholarships or honors programs?
5. How can improving grades in higher-credit courses affect overall GPA?

**Tip**: Focus on excelling in high-credit courses, as they have a greater impact on your GPA!

Patty has just completed her second semester in college. She earned a grade of D in her 2-hour linear algebra course, a grade of D in her 3-hour psychology course, a grade of A in her 5-hour engineering course, and a grade of B in her 5-hour philosophy course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Patty's grade-point average for the semester.

Learn how to calculate Patty's semester GPA based on her grades in linear algebra, psychology, engineering, and philosophy. This step-by-step solution covers the concept of weighted averages and GPA calculation, with specific grade and credit hour details. Suitable for college students.

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