SOLUTION: The function Y(x)= 48.94 ln x/4.5 can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In which year

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The function Y(x)= 48.94 ln x/4.5 can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In which year      Log On


   



Question 341535: The function Y(x)= 48.94 ln x/4.5 can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In which year will the country's population reach 11 million. About 2029, 2014, 2024, or 2034. to try and solve this problem I substituted 49, 34, 44, and 54 for x but still can not solve the problem can someone help me please.
e.g. Y(x)= 48.94 ln 54/4.5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The function Y(x)= 48.94 ln x/4.5 can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In which year will the country's population reach 11 million.
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y(x) = 48.94*ln(x/4.5)
y(11) = 48.94*ln(11/4.5)
y(11) = 48.94*0.8938
y(11) = 43.74
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Rounding up y(11) = 44
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Year = 1980 + 44 = 2024
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Cheers,
Stan H.
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About 2029, 2014, 2024, or 2034.