Aww that is so sweet!
Reminds me of when I was at school, I always used to save the tiny segment of a mandarin orange (or similar) from my sarnies to give to my dog when I got home. She knew; like your bunny, she'd sit by my school bag until I gave it to her. If I'd forgotten, or was unable to (if I didn't have an orange that day), I'd save her the corner of a sarnie to have instead. Bless her.