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Because of the continued successful implementation of an urban renewal program, it is

expected that each year, 3% of the population currently residing in the city will move to
the suburbs, and 6% of the population currently residing in the suburbs will move into
the city. At present, 65% of the total population of the metropolitan area lives in the city
itself, while the remaining 35% lives in the suburbs. Assuming that the total population of
the metropolitan area remains constant, what will be the distribution of the population 1
year from now? What about 2 years from now?

1 Answer

3 votes

Final answer:

The population distribution between the city and suburbs after one year will be 65.15% in the city and 34.85% in the suburbs. After two years, it will be 65.2865% in the city and 34.7135% in the suburbs.

Step-by-step explanation:

To determine the future population distribution between the city and the suburbs, we will perform a calculation based on the given percentages of movement in the population.

Population Distribution After One Year

Currently, 65% of the population lives in the city and 35% lives in the suburbs. Since 3% of the city population is expected to move to the suburbs each year, and 6% of the suburban population is expected to move to the city, we can calculate the new distribution after one year as follows:


  • City to Suburbs: 65% * 3% = 1.95%

  • Suburbs to City: 35% * 6% = 2.1%

New city population = 65% - 1.95% + 2.1% = 65.15%

New suburban population = 35% + 1.95% - 2.1% = 34.85%

Population Distribution After Two Years

We apply the same calculations to the new distribution to find the population after two years:


  • City to Suburbs: 65.15% * 3% = 1.9545%

  • Suburbs to City: 34.85% * 6% = 2.091%

New city population = 65.15% - 1.9545% + 2.091% = 65.2865%

New suburban population = 34.85% + 1.9545% - 2.091% = 34.7135%

These calculations anticipate the changing urban landscape and reflect the dynamic nature of urbanization, which is an ongoing trend not just in the United States, but globally. These changes in population mirror broader economic and societal shifts, as people move for jobs, housing, and other opportunities.

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