Let's see....since you can't perform the math, I'll do it for you. I'll even talk slow so you can understand me.
One year Apple Care warranty. This...means...that...the....iPhone...is...under...warranty...for...one...year.
You purchased the iPhone around the May timeframe and it is now October. That means you still within the warranty period.
This...means...Apple...will...repair...or...replace...your...defective...iPhone.
If you need any additional assistance or clarification, just let us know.