The quality DOES matter and it IS possible to get a good quality violin for a decent price. Most stores will give you about what you put into a violin, and allow you to trade as your child grows. You won't have to sell it if you have bought it already. Don't buy one on ebay, and don't purchase the instrument until your teacher sees it.
Some local shops will do a trade in. We have a board outside the Suzuki Office in Dunham Hall where we will list instruments to sell, too.
Click here for a pdf list of local and web-based Instrument and Music stores.