Is this everyone's first new car or something? First time ever trying to trade in a vehicle at a dealer?
OF COURSE the value is low when you take it to someone who retails cars, and expect to get retail prices for it. They have to make money, and they want to make as much money as possible. That means you get less then retail, so they can then sell it at retail.
This is not a new concept. Dealers have been offering less then what the car is really worth since there's been dealers. That's how that works, best get used to it now. If you want to sell your car for more sell it privately.
Hatch Nation #29