Supporting details are exemplified as the details like evidence in the form of facts or reason or the use of quotations or statistics that would function to act as a support to back the central idea or claim of the author and enhance the credibility of the claim.
The authors employ these details to 'strengthen their ideas and opinions' and convey them with more efficacy and clarity. These details may include the facts, comparison, statistics or quotation that would serve to enhance the validity of the author/speaker's claim or idea and make it more illustrative and clear for the audience to accept, believe, and elicit the desired response.
The above organizational system is a first draft in the editing/revising step of the research process. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer you were looking for and it has come to your help.