Answer:
The correct way to phrase this would be "I feel like eating because I'm hungry."
Step-by-step explanation:
In English, you must always capitalize your I's or A's when they stand alone. The same thing applies when you smoosh together a stand-alone I and another word. 'I'm' is a combination of the two words: 'I' and 'am.' You take off the a and put the 'I' and 'm' together resulting in I'm. The apostrophe is there to indicate the word smoosh!
Eating isn't a feeling so instead of saying you feel eating you'd say you feel like eating because you feel like doing an action, not feeling an emotion.
You would punctuate this sentence with a period instead of a question mark because you are saying a statement with finality not asking a question.