Can a cop change a ticket?

I was in a company cargo van that had hardly no way to see behind you. I backed up (not even doing 5mph ..at normal speed )everything was fine the out of no where i backed up in to another car and dented the back fender and door of the car. The cops were called i recieved a ticket for improper backing(which i agree with it was a backing issue). Everything was fine and the cop left and the company i work for fixed the other car. Well i went to call to see how much my ticket was. I was told that the officer changed the ticket from improper backing to careless driving. I didn't understand why? so i called the police station and they told me that there was no code for improper backing so he wrote it up as careless driving. they told me it was the same thing. but the price for careless driving is more and it has points. which improper backing does not come with points. How can he do that? I looked it up and found that in Ann Arbor ,MI there is a ticked for improper backing. it's a code V11...What do i do? I don't think it's right. this is my first time getting a ticket or anything sence i've got my licence 10 years ago.