Jamie has just completed her second semester in college. She earned a grade of Upper D in her 5​-hour topology ​course, a grade of Upper D in her 5​-hour government ​course, a grade of Upper B in her 3​-hour engineering ​course, and a grade of Upper C in her 3​-hour creative writing 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 Jamie​'s ​grade-point average for the semester.
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Part 1
Jamie​'s grade point average is 
  
enter your response here.
​(Round to two decimal places as​ needed.)

To calculate Jamie's grade point average (GPA), we need to find the weighted average of her grades based on the credit hours for each course.

The formula for GPA is:

\[
\text{GPA} = \frac{\text{Total Grade Points}}{\text{Total Credit Hours}}
\]

Where the grade points for each course are calculated by multiplying the point value of the grade by the number of credit hours for the course.

### Step 1: Assign point values to each grade
- Upper D = 1 point
- Upper B = 3 points
- Upper C = 2 points

### Step 2: Calculate total grade points for each course
- Topology (5 hours, grade D): \( 1 \times 5 = 5 \) points
- Government (5 hours, grade D): \( 1 \times 5 = 5 \) points
- Engineering (3 hours, grade B): \( 3 \times 3 = 9 \) points
- Creative Writing (3 hours, grade C): \( 2 \times 3 = 6 \) points

### Step 3: Calculate total grade points and total credit hours
- Total grade points: \( 5 + 5 + 9 + 6 = 25 \)
- Total credit hours: \( 5 + 5 + 3 + 3 = 16 \)

### Step 4: Calculate GPA
\[
\text{GPA} = \frac{25}{16} = 1.5625
\]

Rounding to two decimal places, Jamie's GPA is:

\[
\boxed{1.56}
\]

Would you like further details on any part of this calculation? 

---

Here are five related questions:
1. How are GPAs typically weighted when courses have different credit hours?
2. How does an "F" grade affect a GPA in this system?
3. What is the highest GPA Jamie could have earned given her course load?
4. How do pass/fail courses impact GPA calculations?
5. What strategies can Jamie use to improve her GPA in future semesters?

**Tip:** Always pay attention to the credit hours of each course when calculating GPA, as higher-credit courses can significantly impact the final result.

Jamie has just completed her second semester in college. She earned a grade of Upper D in her 5-hour topology course, a grade of Upper D in her 5-hour government course, a grade of Upper B in her 3-hour engineering course, and a grade of Upper C in her 3-hour creative writing 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 Jamie's grade-point average for the semester. (Round to two decimal places as needed.)

Determine Jamie's GPA for the semester by calculating the weighted average of her grades based on course credit hours. This problem involves assigning point values to grades (A = 4, B = 3, C = 2, D = 1) and using the GPA formula to find the result. Ideal for college-level students.

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