I think a lot of assumptions are being made here and that bothers me almost as much as someone being upset that a teacher would accept these gifts.
First, define "in front of the class" please? Is the child standing beside their desk, waving the tickets in the air during show and tell, and saying "Here are your tickets to XYZ. My dad got them for you. They cost a lot and he is giving them to you for free.", or is she opening her backpack when she gets to school in the morning, removing the tickets, going up to the teacher's desk and handing her the tickets. When the OP's daughter asks what they are her friend tells her "They're tickets to XYZ. My dad got them."? There's a huge difference between these two scenarios, both of which could be considered "in front of the class" and I find the last one the more realistic scenario of the two but there are also many levels in between. The bottom line is you/we weren't there.
Also, to leap to the allegation that this is "buying someone's respect" is a little bit farfetched to me. Is respect something that can be bought?
Another thought is simply that there are typically many different socioeconomic groups represented within a classroom. Have you considered that this may not seem to the other parent in any way different from the mom that sends in the baked goods? I'm sure these tickets were comp'd if he is someone in the industry. In his mind he's probably just passing on something he isn't using to someone who is thrilled to get them.
I would say to the OP, it can be just as important to know when to back away as a parent as it is to know when to step in. From your statements, your child is in no way being harmed by this situation but by quizzing your child's friend you have escalated the situation to a level that would make me uncomfortable as the parent of that child. I would feel it wasn't your place and if you had a question about the situation you should ask me and not my child. The repercussions from this situation could land back in your lap and your child's in a manner that you might not like.
I was just going to ask the same thing.
OP - do you know for sure this is being done "in front of the whole class" or do your daughters just know what is going on because the other little girl carpools with you?
OP - do you know for absolute certain that the teacher has not paid for the tickets? Yes, the father may have used the student to deliver the tickets, prompting her to answer you "yes" when you grilled her about giving them to the teacher, but are you absolutely, 100% certain that the teacher did not give a check to the father during another transaction.
IF the girl is flashing the tickets and bragging in class that her dad is getting Jonas Brothers and Taylor Swift tickets (from a sports team employee?), and the teacher is not doing anything about the bragging, then I would be upset.
If this is just your perception of what is going down based on what some 8 and 9 year olds told you, then I would say MYOB until you have real, verifiable facts.
Getting upset about something young kids tell you is wasting a whole bunch of energy as chances are it is only 25% factual.
I always loved when our teachers told us that they would make a deal with the parents - that they would only believe 25% of what kids tell them goes on at home if the parents promise to only believe 25% of what kids tell parents what goes on in the classroom.
I have spent many hours in a classroom and it is quite amusing some of the stories kids come up with that are going on at home. They aren't lying, they just have a different perception of what is going on. I bet many parents would be appalled at some of the things the kids share with their teachers and classmates.
If you have a concern, address it with the teacher directly, not with a 9 year old as you won't get the true facts from a 9 year old.