Final answer:
To calculate the GPA, assign numerical values to letter grades, multiply by course credits to find quality points per course, sum the quality points, divide by total credits, and round to two decimal places. The calculated GPA is 2.62.
Step-by-step explanation:
To calculate the student's GPA on a standard 4.0 scale, we first need to associate each letter grade with its equivalent numerical value. An A is typically worth 4 points, a B is worth 3 points, and a D is worth 1 point. Using these values, we can then multiply each grade by the number of credits for that course to get the total quality points for each course, and then sum these to get the overall quality points the student has earned.
- MATH100: 3.0 credits x 4 points (A) = 12 quality points
- MATH123: 3.0 credits x 3 points (B) = 9 quality points
- MATH137: 3.0 credits x 3 points (B) = 9 quality points
- MATH264: 4.0 credits x 1 point (D) = 4 quality points
Next, we sum the quality points: 12 + 9 + 9 + 4 = 34 total quality points. We also sum the credits: 3 + 3 + 3 + 4 = 13 total credits. The GPA is then calculated by dividing the total quality points by the total credits: GPA = 34 quality points / 13 credits = 2.62 (rounded to the hundredth place).