Question

A small rural town has experienced growth at a rate of 50 people per year since 2000. If the population of the town in 2000 was 600, which of the following equations represents the town's population as a function of time? (Assume 2000 is represented by x = 0, 2001 is represented by x = 1, and so on).

Answer 1

The equation representing the rural town's population as a function of time since the year 2000 is P(x) = 600 + 50x, where P(x) is the population and x is the number of years since 2000.

Step-by-step explanation:

The population of a small rural town in the year 2000 was 600 and has been experiencing a growth of 50 people per year since then. To represent the town's population as a function of time, we can use the equation:

P(x) = 600 + 50x

Here, P(x) stands for the population in a particular year, 600 is the initial population in the year 2000, and 50x is the growth over the years, where x represents the number of years since 2000. For example, if x = 10 (representing the year 2010), the population would be P(10) = 600 + 50*10 = 1100.

Answer 2

The function is y = -5x + 250