Answer:
I think the word that desscibes this sentence is B: extrinsic.
Step-by-step explanation:
The reason for the speaker to do chores is because their parents expect everyone to help with houseworks, otherwise, he/she wouldn't do it. The speaker does something because of the relationship with others (in this case, the parents), and that is what the adjective extrinsic refers to. The opposite would be to do something because of my own desire, because it is my nature (intrinsic), and not because someone else wants me to.