Chapter 1.10, Problem 10E

In a certain region, about 6% of a city’s population moves to the surrounding suburbs each year, and about 4% of the suburban population moves into the city. In 2015, there were 10,000,000 residents in the city and 800,000 in the suburbs. Set up a difference equation that describes this situation, where x₀ is the initial population in 2015. Then estimate the populations in the city and in the suburbs two years later, in 2017.