As much as I dislike that Bristol is still in the competition, I think she knows exactly why she's still there.
What is she supposed to say when asked by the media? "Thanks mom!" It's also easy to forget that in many ways both she and Kyle are just kids. Add their ages together and they are still not as old as Jennifer

.
The more I think about it the more I feel sorry for Bristol. She seems like a sweet girl who is also very headstrong and competitive. I'm thinking back to when her mom said that she insisted that she play youth football. It's got to be killing her knowing that her ability has not gotten her into the top three. Maybe she
is naive enough to believe that her voters are keeping her in because she's "real" and not "Hollywood". While I do not doubt that some are, many others have a different agenda in mind when voting. As a result poor Bristol is brought back week after week to face a new dance (or in this case FOUR) that she can barely perform.