Final answer:
The best word replacements for 'cultivate' and 'craze' are 'develop' and 'popularity', reflecting the Portuguese advancement in sugarcane farming in Brazil and the high demand for sugar in Europe.
Step-by-step explanation:
The words that would BEST replace "cultivate" and "craze" in the paragraph about the evolution of sugarcane are "develop" and "popularity". The Portuguese realized they could effectively develop sugarcane on large plantations in Brazil. Later, when Brazilian sugarcane spread to the Caribbean, it fueled the growth of the industry, which fed into the popularity of sugar in Western Europe. This popularity stemmed from a heightened demand due to sugar's increasing use as a main sweetener, replacing honey and faced by the rising demand for sweet flavors.