To determine how the author develops character through the dialogue between Peter and Olivia, we need to analyze their exchanges and the tone of their conversation.
If Olivia's dialogue reflects a sense of entitlement or laziness, then the first option would be correct. If Peter's responses reveal frustration or a lack of support, then the second option could be accurate. If Peter demonstrates intelligence and a focus on academics through his dialogue, then the third option might apply. If Olivia is portrayed as cheerful and positive, then the fourth choice is fitting.
However, without the specific passage to reference, it's impossible to definitively choose one of the options listed. You would need to review the dialogue between Peter and Olivia to see which characterization is most clearly depicted through their conversations.