Final answer:
To maintain a GPA of at least 2.25 with the pending Math grade, the student needs at least 3 more grade points. Since Math is worth 3 credit hours, the minimum letter grade required is a D.
Step-by-step explanation:
To determine the minimum letter grade the student needs in math to maintain a GPA of no less than 2.25, we first need to calculate the grade points for each of the existing grades and then find out how many additional points are required to reach the GPA threshold with the pending math grade. Each letter grade corresponds to a certain number of grade points per credit hour: A=4, B=3, C=2, D=1, F=0. The student's current grades are a C in English (3 credit hours), a B in Science (5 credit hours), a C in History (3 credit hours), and a B in Information Literacy (2 credit hours).
First, let's calculate the total grade points accumulated so far:
- English: 3 credit hours × 2 points (C grade) = 6 points
- Science: 5 credit hours × 3 points (B grade) = 15 points
- History: 3 credit hours × 2 points (C grade) = 6 points
- Information Literacy: 2 credit hours × 3 points (B grade) = 6 points
The total is 6 + 15 + 6 + 6 = 33 grade points.
Now, let's calculate the total credit hours: 3 (English) + 5 (Science) + 3 (History) + 2 (Information Literacy) + 3 (Math) = 16 credit hours.
To maintain a GPA of at least 2.25 across all 16 credit hours, the student needs:
2.25 × 16 credit hours = 36 total grade points
With 33 grade points already accounted for, the student needs at least 3 more grade points from the Math class. Since Math is worth 3 credit hours, to get 3 grade points, the student would need to get a minimum grade of D (1 point per credit hour × 3 credit hours = 3 points). Therefore, the minimum letter grade needed in Math is a D.