$0.05/$0.10

Delt TA in the CO. UTG limps. Table folds to me. I raise $0.50, SB folds, BB calls $0.40, UTG folds.

Flop comes 2Q9. I bet $1.00, BB folds.

Seems a kind of standard move and standard outcome, however, what if I had been called? Do I immediately give up the hand? Do I bet again on the turn unimproved? Considering how often this kind of things happen, is it +EV to call other players' c-bets? What if the table begins to notice I'm c-betting almost always, and surrendering on the turn? Any information would be appreciated.

Edit: Assume I have no reads on the players at the table (I generally don't). The only player I had a read on had $27.00, and went broke before I had a chance to get into a hand with him.