I just bought a new champion and skin. Played my first game, power outage, got banned for 4 days.

I haven't quit a game in over 2 weeks. Why the **** did I get banned? I just spent 5 dollars for Riot to ban me? Is there a way I can waste more of my ****ing money to unban me?

under the rules and conditions for bans. It says I'm responsible for my own account and it's connections, but does that mean I'm held responsible for my whole neighborhood having a power outage?

You can always submit a ticket if you feel it really was an unjust ban, as usually one leave will not get you banned. However my guess is that one leave alone is not why you were banned.

My suggestion, just don't get to upset and wait out the ban. You'll be back to playing soon enough.