SOLUTION: Americans spent 76 billion dollars on a certain commodity in 1992 and 110 billion dollars in 1996. assuming that this trend continues, estimate the amount spent on this commodity d

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Question 1089441: Americans spent 76 billion dollars on a certain commodity in 1992 and 110 billion dollars in 1996. assuming that this trend continues, estimate the amount spent on this commodity during 1994.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of this straight line
I can set these conditions:
1992 = 0
1994 = 2
1996 = 4
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Let +y+ = billions of dollars spent
Let +x+ = number of years after 1992
Use the general point-slope formula
--------------------------------------
+%28+y+-+76+%29+%2F+%28+x+-+0+%29+=+%28+110+-+76+%29+%2F+%28+4+-+0+%29+
+%28+y+-+76+%29+%2F+x+=+34+%2F+4+
+4%2A%28+y+-+76+%29+=+34x+
+2%2A%28+y+-+76+%29+=+17x+
+2y+-+152+=+17x+
+y+=+%28+17%2F2+%29%2Ax+%2B+76+
--------------------------
1994 = 2
+y+=+%28+17%2F2+%29%2A2+%2B+76+
+y+=+17+%2B+76+
+y+=+93+
93 billion was spent during 1994
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here's the plot:
+graph%28+400%2C+400%2C+-1%2C+5%2C+-15%2C+150%2C+%2817%2F2%29%2Ax+%2B+76+%29+