Answer:
The grade point average of the student is 49.92.
Step-by-step explanation:
A student earned grades : C, A, B, and A
Corresponding numbers of credit hours : 44, 66, 11, and 66
Assigns quality points to letter grades :
A = 4 , B = 3 , C = 2 , D = 1 , F = 0
The grade point average (GPA):
![\frac{\sum (\text{grade point}\times \text{credit hours})}{\sum (\text{grade point})}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csum%20%28%5Ctext%7Bgrade%20point%7D%5Ctimes%20%5Ctext%7Bcredit%20hours%7D%29%7D%7B%5Csum%20%28%5Ctext%7Bgrade%20point%7D%29%7D)
![=\frac{2\times 44+4\times 66+3\times 11+4\times 66}{2+4+3+4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%5Ctimes%2044%2B4%5Ctimes%2066%2B3%5Ctimes%2011%2B4%5Ctimes%2066%7D%7B2%2B4%2B3%2B4%7D)
![=\frac{649}{13}=49.9230\approx 49.92](https://tex.z-dn.net/?f=%3D%5Cfrac%7B649%7D%7B13%7D%3D49.9230%5Capprox%2049.92)
The grade point average of the student is 49.92.