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Question 317363: From 1988 to 1989, the population of Col-
orado Springs increased by 5409, and that of
Wichita increased by 4640. In 1989, the pop-
ulation of Colorado Springs andWichita were
284482 and 297391, respectively.
If the populations continue to increase at
the same rates, in what year will the popula-
tions of the two cities be the same?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! From 1988 to 1989, the population of Col-
orado Springs increased by 5409, and that of
Wichita increased by 4640. In 1989, the pop-
ulation of Colorado Springs andWichita were
284482 and 297391, respectively.
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Springs growth: S(x) = 284482 + 5409x
---------------------
Wichita growth: W(x) = 297391 + 4640x
============================================
If the populations continue to increase at
the same rates, in what year will the popula-
tions of the two cities be the same?
-------
Solve S(x) = G(x) for "x":
284482 + 5409x = 297391 + 4640x
769x = 12909
x = 16.79 years
---
1989 + 16.79 = 2005.79
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Year = 2006
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Cheers,
Stan H.
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