Very sound advice, anymouse. Vwex217 will benefit greatly from it.
But to hopefully shed a little more light on the question, our private studio charges about $60 for a one-hour private lesson. I think if you sign up for five or more at one time, that price comes down a bit. I believe that a private wedding dance lesson is $75 .. only because I think those go more than an hour.
I am not certain, but I believe it to be lower than some of the franchise operations, which tend to push bigger contracts.
I don't see it as prominently now, but it used to be that the "dance analysis" you speak of is really a chance for the studio teachers to analyze what kind of opportunity they have for a sale. In other words, can they wow you with the music, the lights and the dancing in such a way that you get what they used to call "sensory overload" and you are on cloud nine -- and signing a dancing lesson contract that has them smiling like Cheshire cats. And, of course, whether you smile or not will depend on how things go during the course of your contract. You may fall in love with it and think it was well worth the time and money ... or you will be left longing for more and wondering how you could learn so little after spending so much money ... which they hope will have you considering extending your lessons.
All of which, again, is not a major problem if you have the time and money and are getting great enjoyment out of the lessons.