Gatsby first becomes interested in Nick after finding out that Nick is Daisy's cousin. In the beginning, his effort to become Nick's friend seems to be based on his hope that Nick will re-introduce him to Daisy.
Later, as Gatsby and Daisy become close again, Nick helps arrange the meetings between them. However, Gatsby doesn't seem to expect much more than that from Nick.
<span>The nobles speak poetically, while commoners speak in a direct manner.</span>
The best answer here would be sapere aude, which translates roughly to "Dare to know." If you think about the meaning of the phrase "have the courage to use your own understanding," "dare to know" is probably the closest you'll get to it. It's pretty much daring you to use your knowledge of everything to do something with your life.
If you look at the other options, carpe diem means "seize the day," so it isn't right. Cogito, ergo sum means "I think, therefore I am" which means that it isn't quite right either. Veni, vidi, vici means "I came, I saw, I conquered," which also does not apply to this.