Just how much showdown value is needed here?

[TazQ]

Opponent is semi loose passive, sitting at 48/10. Does this hand have enough showdown value for a bet on the turn?

Party Poker (6 max, 6 handed) converter

Preflop: Hero is Button with 7[img]/images/graemlins/club.gif[/img], 7[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">UTG raises</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero 3-bets</font>, SB calls, <font color="#666666">1 fold</font>, UTG calls.

Flop: (10 SB) 9[img]/images/graemlins/diamond.gif[/img], 8[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">UTG bets</font>, <font color="#CC3333">Hero raises</font>, SB folds, UTG calls.

Turn: (7 BB) K[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
UTG checks, <font color="#CC3333">Hero bets</font>, UTG calls.

River: (9 BB) T[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
UTG checks, Hero checks.

Final Pot: 9 BB