Question

Suppose a town has a population of 8900 residents in 2010, but the population is decreasing by 100 people per year. Write a model that gives the population x years after 2010.

Answer 1

Explanation:

To model the population x years after 2010, we can use the following equation:

Population = Initial population - (Rate of decrease * Number of years)

Given that the initial population in 2010 is 8900 residents and the population is decreasing by 100 people per year, the model can be written as:

Population(x) = 8900 - (100 * x)

In this equation, x represents the number of years after 2010. By plugging in different values of x, we can calculate the population for any given year.

For example, to find the population in the year 2025 (15 years after 2010), we can substitute x = 15 into the equation:

Population(15) = 8900 - (100 * 15)

= 8900 - 1500

= 7400

Therefore, the population in the year 2025 would be 7400 residents.