Suppose that at some initial point in time 100,000 people live in a certain city and 25,000 people live in its suburbs. the regional planning commission determines that each year 5% of the city population moves to the suburbs and 3% of the suburban population moves to the city.

(a) assuming that the total population remains constant, make a table that shows the populations of the city and its suburbs over a five-year period (round to the nearest integer).

(b) over the long term, how will the population be distributed between the city and its suburbs?

show your all of your work in how you determined it.