SOLUTION: The number (C) of U.S Supreme Court cases on docket from 1996 to 2001 can be approximated by the linear equation:
C= 344.3t + 5400, 6<_t <_11
where t is the year, with t=6 corres
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Question 180660: The number (C) of U.S Supreme Court cases on docket from 1996 to 2001 can be approximated by the linear equation:
C= 344.3t + 5400, 6<_t <_11
where t is the year, with t=6 corresponding to 1996. If this linear pattern continues, in what year will the number of U.S. Supreme Court cases reach 11,000?
Please help. I don't even know where to start! Thanks.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Start with your equation.
for
Find t when C=11000.
You assume that the equation stays linear when .
Since t=6 is the year 1996, then year t=16 would be year 2006.
The leftover 0.3 year would get you to roughly 3rd or 4th month of 2006.
I'm not sure if you need to be that exact or if you can say between 2006 and 2007.
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