SOLUTION: In 1998​, there were 41,175 shopping centers in a certain country. In 2008​, there were 48 comma 48,723. ​(a) Write an equation expressing the number y of shoppi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In 1998​, there were 41,175 shopping centers in a certain country. In 2008​, there were 48 comma 48,723. ​(a) Write an equation expressing the number y of shoppi      Log On


   



Question 1014425: In 1998​, there were 41,175 shopping centers in a certain country. In 2008​, there were 48 comma 48,723.
​(a) Write an equation expressing the number y of shopping centers in terms of the number x of years after 1998.
​(b) When will the number of shopping centers reach 60,000​?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In 1998​, there were 41,175 shopping centers in a certain country. In 2008​, there were 48 comma 48,723.
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slope = (48,723-41175)/(2008-1998) = 7548/10 = 754.8
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intercept = f(1998) = 41175
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​(a) Write an equation expressing the number y of shopping centers in terms of the number x of years after 1998.
f(x) = 754.8x + 41,175
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​(b) When will the number of shopping centers reach 60,000​?
Solve::
60,000 = 754.8x + 41.175
754.8x = 18825
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x = 24.94
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Ans:: 1998 + 24.94 = 2023 when rounded up
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Cheers,
Stan H.
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