50nl 6m: AKs cbet this flop?

[barryc83]

Villain is 47/13/1 over 50 hands. This seems super weak tight but being OOP w/ no real draw and his VPIP of 47 I thought it was best to just give up even to that small bet. That was an ugly flop for me. Thoughts?

Poker Stars
No Limit Holdem Ring game
Blinds: $0.25/$0.50
4 players
Converter (http://www.neildewhurst.com/hand-converter)

Stack sizes:
UTG: $54.85
Button: $21.80
Hero: $52.25
BB: $16.35

Pre-flop: (4 players) Hero is SB with A/images/graemlins/heart.gif K/images/graemlins/heart.gif
UTG folds, Button calls, <font color="#cc0000">Hero raises to $2.5</font>, BB folds, Button calls.

Flop: J/images/graemlins/spade.gif 9/images/graemlins/heart.gif 8/images/graemlins/spade.gif ($5.5, 2 players)
Hero checks, <font color="#cc0000">Button bets $2</font>, Hero folds.
Uncalled bets: $2 returned to Button.

Results:
Final pot: $5.5

[CaseS87]

i c-bet here probably 50% so i think this is fine.

[Unknown Soldier]

i do the same

[pdoran10]

no.
like 75% of his range hit this board, and he's gonna call with those stats.