What to do on the flop?
A call seems to be the worse option. Folding feels weak. A raise is an option. But due to his line (minbet/call preflop, donkbet/(?)) I assumed he wasn't going to fold to a raise.
Villain is unknown.
Full Tilt - $0.05 NL RUSH (6 max) - Holdem - 6 players
Hand converted by PokerTracker 3
BTN: $1.97
SB: $3.47
BB: $6.10
UTG: $8.70
MP: $6.08
Hero (CO): $8.25
SB posts SB $0.02, BB posts BB $0.05
Pre Flop: ($0.07) Hero has J♠ J♣
fold, MP raises to $0.10, Hero raises to $0.35, fold, fold, fold, MP calls $0.25
Flop: ($0.77, 2 players) K♠ Q♠ 7♥
MP bets $0.25, Hero calls $0.25
Turn: ($1.27, 2 players) A♣
MP bets $0.35, fold
Spoiler
MP wins $1.19