HELLO!
The war led to emergence of U.S. predominance in the Caribbean region, and resulted in U.S. acquisition of Spain's Pacific possessions. That led to U.S. involvement in the Philippine Revolution and ultimately in the Philippine–American War. The main issue was Cuban independence.
The story of the two ancient kings is a good illustration of exponential growth. This can be illustrated through their chess game where the king always doubled the amount of gain that he placed on each square of the chess board. Before doing so, the king realized that he did not have enough gain to double it on each square.
This clearly shows that an exponential growth might start out very slowly, but speeds up and increases very quickly.
The plaintiff in the case, was seven-eighths white and one-eighth black, and had the appearance of a white man. On June 7, 1892, he purchased a first-class ticket for a trip between New Orleans and Covington, La., and took possession of a vacant seat in a white-only car. Duly arrested and imprisoned, Plessy was brought to trial in a New Orleans court and convicted of violating the 1890 law. He then filed a petition against the judge in that trial, Hon. John H. Ferguson, at the Louisiana Supreme Court, arguing that the segregation law violated the Equal Protection Clause of the Fourteenth Amendment, which forbids states from denying "to any person within their jurisdiction the equal protection of the laws," as well as the Thirteenth Amendment, which banned slavery.