Answer: Ray AC is correct
This is because ray AE points in the same direction along ray AC. Put another way, points C and E are on the same line as A. So relabeling from "ray AE" to "ray AC" does not change the ray itself.
Keep in mind that order is important. So saying "ray AE" is completely different from "ray EA" due to the fact that the first letter is the endpoint while the second letter is where the ray goes on forever. So we can think of starting at point A and going in the direction of E to get ray AE, or going in the direction of C to get ray AC, and we're talking about the same ray.