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Chapter 3: Problem 9

Marissa has just completed her second semester in college. She earned a \(\mathrm{B}\) in her five-hour calculus course, an A in her three-hour social work course, an A in her four-hour biology course, and a \(\mathrm{C}\) in her three-hour American literature course. Assuming that an A equals 4 points, a B equals 3 points, and a C equals 2 points, determine Marissa's gradepoint average for the semester.

Short Answer

Expert verified
Marissa's GPA is 3.27.

Step by step solution

01

- List the Grade Points

Identify the grade points for each course: Calculus (B = 3 points), Social Work (A = 4 points), Biology (A = 4 points), American Literature (C = 2 points).
02

- List the Credit Hours

Write the credit hours for each course: Calculus (5 hours), Social Work (3 hours), Biology (4 hours), American Literature (3 hours).
03

- Calculate Quality Points for Each Course

Multiply the grade points by the credit hours for each course: Calculus: 3 points * 5 hours = 15 quality points Social Work: 4 points * 3 hours = 12 quality points Biology: 4 points * 4 hours = 16 quality points American Literature: 2 points * 3 hours = 6 quality points.
04

- Sum of Quality Points

Add the quality points for all courses: 15 (Calculus) + 12 (Social Work) + 16 (Biology) + 6 (American Literature) = 49 quality points.
05

- Sum of Credit Hours

Add the credit hours for all courses: 5 (Calculus) + 3 (Social Work) + 4 (Biology) + 3 (American Literature) = 15 credit hours.
06

- Calculate GPA

Divide the total quality points by the total credit hours to find the GPA: Marissa's GPA = Total Quality Points / Total Credit Hours = 49 / 15 Marissa's GPA = 3.27.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Grade Points
Grade points go hand-in-hand with letter grades to assess your performance in a course. Each letter grade corresponds to a specific number of grade points. Typically, it's structured as follows:
  • An A equals 4 points
  • A B equals 3 points
  • A C equals 2 points
Using Marissa's example:
  • Calculus: B = 3 points
  • Social Work: A = 4 points
  • Biology: A = 4 points
  • American Literature: C = 2 points
Keep track of your grade points for each course to calculate your GPA.
Credit Hours
Credit hours represent how much time you spend in each course weekly over a semester. The more credit hours a course has, the more it can impact your GPA. Marissa鈥檚 courses and their credit hours are as follows:
  • Calculus: 5 hours
  • Social Work: 3 hours
  • Biology: 4 hours
  • American Literature: 3 hours
Recording your credit hours accurately is crucial for calculating your GPA.
Quality Points
Quality points combine grade points and credit hours to give a weighted score for each course. To get this, multiply the grade point by the credit hours. For instance, Marissa's quality points are calculated as follows:
  • Calculus: 3 points * 5 hours = 15 quality points
  • Social Work: 4 points * 3 hours = 12 quality points
  • Biology: 4 points * 4 hours = 16 quality points
  • American Literature: 2 points * 3 hours = 6 quality points
After calculating the quality points for each course, you'll need to sum them up.
GPA Calculation
The Grade Point Average (GPA) is a numerical representation of your academic performance. Here's how you can calculate it:
  • First, sum up all the quality points: 15 + 12 + 16 + 6 = 49
  • Then, sum up all the credit hours: 5 + 3 + 4 + 3 = 15
Finally, divide the total quality points by the total credit hours to get your GPA. For Marissa, it would be: \( GPA = \frac{49}{15} = 3.27 \) This result means that Marissa鈥檚 GPA for the semester is 3.27.

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