Final answer:
The correct equation that represents the total number of pieces of candy Nick bought is t = 7(y+1), as it accounts for all y friends plus Nick. The correct answer is option b).
Step-by-step explanation:
The question involves determining the equation that represents the total number of pieces of candy Nick bought if he and his friends each receive 7 pieces. Since Nick divides t pieces of candy equally between his y friends and himself, we need to account for all y friends plus Nick.
Therefore, the total number of people is y friends plus 1 (Nick), which means the correct equation must include y+1 as the number of people. Every person gets 7 pieces of candy, so we need to multiply the number of people (y+1) by 7 to get the total number of pieces.
Thus, the correct equation is t = 7(y+1). This represents the total pieces of candy, t, bought by Nick and divided equally among himself and his y friends.