SOLUTION: How would you solve this problem: The approximate number of tax returns examined by the IRS in 1996 was 1.9 million In 2006, it was 1.2 million examined. Let x= 0 correspond to 19

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Question 420396: How would you solve this problem:
The approximate number of tax returns examined by the IRS in 1996 was 1.9 million In 2006, it was 1.2 million examined. Let x= 0 correspond to 1996, estimate the number of examined returns in 2008. Answer to 2 decimal places.
Thanks, it will be greatly appreciated.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You are given 2 data points that you can plot on a straight line
You can plot T = tax returns examined on the vertical axis,
and x = year on the horizontal axis.
given:
Let x= 0 correspond to 1996
Then x = 10 corresponds to 2006
(0,1.9) and (10,1.2) are the points
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Use the point-slope formula:
+%28+T+-+1.2%29+%2F+%28x+-+10%29+=+%28+1.9+-+1.2+%29+%2F+%28+0+-+10%29+
+%28+T+-+1.2+%29+%2F+%28+x+-+10+%29+=+.7%2F%28-10%29+
+-10%2A%28+T+-+1.2+%29+=+.7%2A%28+x+-+10+%29+
+-10T+%2B+12+=+.7x+-+7+
+-10T+=+.7x+-+19+
+T+=+-.07x+%2B+1.9+
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I'll check the formula for (10,1.2)
+1.2+=+-.07%2A10+%2B+1.9+
+1.2+=+-.7+%2B+1.9+
+1.2+=+1.2+
OK
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Use the formula for 2008, which is x+=+12
+T+=+-.07%2A12+%2B+1.9+
+T+=+-+.84+%2B+1.9+
+T+=+1.06+
1.06 million returns examined in 2008
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Here's a plot:
+graph%28+400%2C+400%2C+-2%2C+15%2C+-1%2C+3%2C+-.07x+%2B+1.9%29+