Alegebra I

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On January 1, 2010, Chessville has a population of 50,000 people. Chessville then enters a period of population growth. Its population increases 7% each year. On the same day, Checkersville had a population of 70,000 people. Checkersville starts to experience a population decline. Its population decreases 4% each year. During what year will the population of Chessville first exceed that a Checkersville? Show all of your work and explain your steps.
Any help would be great.

• Alegebra I -

50000 + 0.07x*50000>70000-0.04x*70000.
50000 + 3500x > 70000 - 2800x
3500x + 2800x > 70000 - 50000
6300x > 20000
X > 3.17 yr.

So the population of Chessville becomes greater than the population of Checkers-
ville during the 3rd yr.

• Alegebra I -

Correction: Change > to =.
X = 3.17460 Years.

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