An archetype is a typical example or representation of someone or something that anyone can recognize an associate, it could referer to either appearance or ways to act.
Writers use archetypes to have a base on the creation of their characters, besides archetypes help especially the main characters to step up from the others, so readers will find easier to see them, understand them and relate to them.
Taking this in consideration de correct answer is D. To show the arc of how the character changes. all of the decisions and acts of any character are there because of their personality.
The other options are not correct because in A) it is presented as an identification tag and it is more like a logical reason why characters do something. B) talks about the setting which doesn't have anything to do with archetypes. C) Even when archetypes represent universal patterns of human nature that's not what the writers show as a result on their work