SOLUTION: In 2010 the population of Detroit, MI was 983,000 and was decreasing by about 5,000 people a year. In the same year, Phoenix, AR had a population of 497,000 and was increasing by a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In 2010 the population of Detroit, MI was 983,000 and was decreasing by about 5,000 people a year. In the same year, Phoenix, AR had a population of 497,000 and was increasing by a      Log On


   

Question 821361: In 2010 the population of Detroit, MI was 983,000 and was decreasing by about 5,000 people a year. In the same year, Phoenix, AR had a population of 497,000 and was increasing by about 20,000 people a year. If these trends continue after how many years will each city have the same population? What will the population be?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

In 2010 the population of Detroit, MI was 983,000 and was decreasing by about 5,000 people a year. P%5BD%5D+=+983000+-5000x%29

In the same year, Phoenix, AR had a population of 497,000 and was increasing by about 20,000 people a year.P%5BP%5D+=+497000+%2B20000x%29

If these trends continue after how many years 'x' will each city have the same population?

983000 -5000x = 497000 +20000x

     486,000 = 25,000x 

        19.44years = x