Problem

To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of credits for the course. Suppose a student had these grades:
3.8 in a 5 credit Math course
2.6 in a 3 credit Music course
2.9 in a 4 credit Chemistry course
3.3 in a 4 credit Journalism course
What is the student's GPA for that term? Round to two decimal places.
Student's GPA =

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The student's GPA for that term is \(\boxed{3.22}\)

Steps

Step 1 :Given the grades and credits for each course, we have the following:

Step 2 :Math: Grade = 3.8, Credits = 5

Step 3 :Music: Grade = 2.6, Credits = 3

Step 4 :Chemistry: Grade = 2.9, Credits = 4

Step 5 :Journalism: Grade = 3.3, Credits = 4

Step 6 :The total number of credits is calculated as: \(5 (for Math) + 3 (for Music) + 4 (for Chemistry) + 4 (for Journalism) = 16 credits\)

Step 7 :The sum of the products of the grades and the credits is calculated as: \(3.8*5 (for Math) + 2.6*3 (for Music) + 2.9*4 (for Chemistry) + 3.3*4 (for Journalism) = 51.6\)

Step 8 :The GPA is then calculated by dividing the sum of the products by the total number of credits: \(\frac{51.6}{16} = 3.22\)

Step 9 :Final Answer: The student's GPA for that term is \(\boxed{3.22}\)

link_gpt