Yes they did because they are smart.

There is no documentary evidence that they grew or ate carrots.

If you grew the carrots yourself, they would cost you nothing. If you are wanting to purchase them form other people then the rules of supply and demand would govern the price asked.

First of all, they didn't grow gardens but they had fields for crops, they grew corn, carrots, tabacco, beats, etc.

they grew crops and stuff corn bread carrots etc... and they ate them they also ate stuff like boars wheat chickens