There are very many possible ways to answer this question. It may be that your book lists some aspects of culture in these colonies that you are supposed to know. You may want to check as our answers may emphasize aspects that are different from those emphasized by your book.
The culture of the Chesapeake colonies was dominated at the top by rich, aristocratic plantation owners. These people were the ones who set the fashions in the colonies. They were also the ones who did things like funding the horse races that were a major cultural attraction to people of all classes.
On the other end of the scale was slave culture. Slave culture was a mix of various African cultures that blended when the slaves were thrown together in a new land. The music and food of slave culture also percolated up and influenced the broader culture of the South.
Again, there are very many aspects of Chesapeake culture that could be discussed. Please consult your book to see if there are specific answers you are supposed to find.