Jake was like that when he was a puppy. If I left the kitchen, he would follow me. I would just say "go eat", and he would eventually go back into the kitchen. I didn't want him to feel like he could only eat in the kitchen if I was there, so I got into the routine of putting his food down and walking away. Jackson, on the other hand, wouldn't care if I left the country, much less the room, because he is a chow hound.
