SOLUTION: While it is said that trains opened up the American West to settlement, U.S. railroad miles have been on the decline for decades. On the other hand, the miles of roads in the U.S.

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Question 339912: While it is said that trains opened up the American West to settlement, U.S. railroad miles have been on the decline for decades. On the other hand, the miles of roads in the U.S. highway system have been increasing.
The function y = -1379.4x + 150,604 represents the U.S. railroad miles, while the function y = 478.4x + 157,838 modles the number of U.S. highway miles, where x is the number of years of 1995.
Find the year in which it is estimated that the number of U.S. Railroad miles and the number of U.S. highway miles were the same.
Thank you for your help.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Set the two right sides of the equations equal to one another to get -1379.4x+%2B+150604=478.4x+%2B+157838. Now solve for 'x' to find the number of years since 1995 where the two will be equal.


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