Final answer:
Jamie's grade-point average for the semester is calculated by multiplying each course grade by the number of credit hours, summing them up, and then dividing by the total number of credit hours taken. The GPA is found to be 2.17 after rounding to two decimal places.
Step-by-step explanation:
To calculate Jamie's grade-point average (GPA) for the semester, we will multiply each course grade by the number of credit hours and then divide the sum by the total number of credit hours taken.
Jamie's course grades and credit hours are:
- Linear Algebra: C (2 points) × 2 hours
- Government: A (4 points) × 5 hours
- Biology: C (2 points) × 1 hour
- Philosophy: F (0 points) × 4 hours
Let's calculate the total points:
(2 × 2) + (4 × 5) + (2 × 1) + (0 × 4) = 4 + 20 + 2 + 0 = 26 total points
Now, we add up the total credit hours:
2 + 5 + 1 + 4 = 12 total hours
Finally, we divide the total points by the total hours to get Jamie's GPA:
26 total points ÷ 12 total hours = 2.17
Thus, Jamie's grade-point average for the semester is 2.17 (rounded to two decimal places).