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The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.

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The equation of population of Laredo, Texas is :

-  [tex]p=\frac{92500}{17}t+123000[/tex]

"Population Growth"

Given:

  • t = the number of years after 1990.
  • So, for 1990, t = 0. So the coordinate is (0, 123000).
  • For 2007, t = 17. So the coordinate is (17, 215500).

Using point slope formula:

  • point slope= [tex]\frac{p-123000}{t-0
  • point slope=\frac{215500-123000}{17-0}\\\frac{p-123000}{t}
  • point slope=\frac{92500}{17}\\p-123000
  • point slope=\frac{92500}{17}t\\p
  • point slope=\frac{92500}{17}t+123000[/tex]

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