Okay, I feel somewhat obligated to reply here. It's not true that you cannot find what someone's voice type is at the age of sixteen, it is true that the voice hasn't fully developed yet, though. Like the above, voice types tend to apply to classical/opera because of the WAY they are singing. For example in pop, you will hear sopranos singing in the range of an alto in a way that really isn't healthy for their voice.
Anyways. It would be more helpful if you sang more classical type songs, where you sang in your head voice which is how you would pick out someone's voice type. The range you listed and the way you sing I want to say you sound like a mezzo soprano. You can go slightly higher in your headvoice but your higher notes aren't strong enough in a prominent way to classify you as a soprano (which I am). Typically going from lower to higher my lows are airy and my highs are strong and loud. A sopranos range is also higher, trained or not. Technique also plays a large part of range, so people can have and usually have a wider range when singing properly. Also, if your voice teacher didn't know your voice type they were not a good voice teacher...don't go back to them. Another thing, singing improperly can give a false sense of voice type.
