In what they call "Year Zero," a group of 26 people started a settlement. Every year the population changes as babies are born, people move in, and people move out. Generally, the population increases by an average of 2.6 people a year. At the same time, a nearby established community discovered that their population could be described by the following function, where f(x) is the population, in people, and x is the time, in years, from "year zero." f(x) = -5.3x + 256 Part A Using your knowledge of functions, explain specifically why both communities' ways of expressing their populations represent functions. Provide evidence to support your answer Part B Analyze the functions and compare the populations for the two communities over time by describing in detail under what conditions one community's population is greater than the other's population. Provide evidence to support your answer. Your answer
