I've been getting more and more business just through word of mouth. I just shot photos for a mom who wanted photos of her daughter at a track/field event, and at a soccer game.
I told her $150 for each, and she was happy to pay. For each event, I figured that covered 40 min round trip, 1:15 or so of shooting, and about 30-45 minutes of processing, for "my time" rate of ~$50/hr. That's less than my day job, but enough for it to be worth my time.
I also told her that I'd shoot additional kids at the same game for $50 each if anyone else was interested, and two took me up on that. Then the word of mouth thing got going, and I'm now looking at action shots of another swim team ($30 per kid, about 5 minutes total with each, plus about 15 minutes of processing for each).
All of my photography provides full-size digital files for all keepers to the customer. I don't care to manage anything else to do with the final images. Well, one exception is swim team full-team shots, where I sell only 8x10 prints, and use that as a fundraiser for the team (since I'm profiting off of the individual action shots). The swim teams have been bringing in about $1700 - $2200, plus a $500 - $1000 donation for the team photo.
So, if I was asked to shoot a HS or lower basketball game, with only available lighting, I would probably say $500. If I get more requests to shoot soccer, I'll go in with the whole team for $300, or do the $100 + $50 per kid thing.
Hope this helps. My prices may go up in a few months, depending on how swamped I'm feeling vs. my day job.