Answer:
The style of love that is exemplified in this scenario is:
b. pragma
Explanation:
John Alan Lee, who lived from 1933 to 2013, was a Canadian writer and researcher. He was the creator of the Color Wheel Theory of Love, in which he described the six styles of love.
The love exemplified by Nathan's actions is called pragma. If its name reminds you of the word "pragmatic", that is not just a coincidence. Pragma is indeed a pragmatic kind of love, one that does not come necessarily from romantic feelings. Pragma is focused on what is convenient. The person will - just like Nathan - analyze the pros and cons of a relationship with a potential partner. He will try to meet certain criteria and expectations. In other words, it is a businesslike approach to love.