does not take fuel unless I back off accelerator

What is your question?

boggs down when I push accelerator on down when rolling. take off is sluggish like it is not getting fuel

What makes this problem better or worse?

easing up on the accelarator seems to give it proper accelaration

How long has your 2006 Pontiac Solstice had this problem?

started a little last week. this week is worse