I believe 3 is the answer, because I think the U.S bought a part of Mexico.
Answer: They were hoping to find a waterway connecting the Atlantic and Pacific Oceans to make it easier for trading ships to sail from Europe to Asia.
I think the answer is
A. Southern plantation owners
Neolithic people developed systems of mathematics for reasons of travel for reasons of trade, for reasons of buying stuff from other people in general. Another reason was their natural curiosity which needed to be satisfied.