I am not sure what kind of banana tree/plant I have but I have a question. I live in the northwest, it has been in the 80's for the most part, I water almost every day and fertilize a couple times a week. I have tremendous growth as far as new leaves and shoots around the original plant but my leaves are turning brown and dying. I bought my plant at the local farmer's market and haven't gotten a chance to get back and ask him what kind it is. He told me to fertilize it daily but I felt like that was too much. Any ideas on why my leaves would be dying?

Which leaves are brown? If it is the lower leaves, that, I believe, is normal, for the most part (you'll never see a 30' high banana plant with leaves the entire way up the stem- you'll only see them clustered toward the top). As it grows, it sends out new leaves from the center & the oldest ones tend to turn brown, droop & die.
Several times a week may be too much fertilization.