SOLUTION: From 1960 to 1990, the average annual U.S. consumption of pork dropped from 62 pounds to 52 pounds. The average annual consumption of chicken rose from 31 pounds to 66 pounds. Wr

Algebra ->  Inequalities -> SOLUTION: From 1960 to 1990, the average annual U.S. consumption of pork dropped from 62 pounds to 52 pounds. The average annual consumption of chicken rose from 31 pounds to 66 pounds. Wr      Log On


   



Question 1057332: From 1960 to 1990, the average annual U.S. consumption of pork dropped from 62 pounds to 52 pounds. The average annual consumption of chicken rose from 31 pounds to 66 pounds. Write an inequality that represents which years the consumption of chicken exceeded the consumption of pork.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll call 1960 +x+=+0+ on the horizontal axis
1990 = +x+=+30+
Plot pounds, +y+, consumed on the vertical axis
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For pork consumption, you are given the 2 points
( 0, 62 )
( 30, 52 )
For chicken consumption, you are given the 2 points
( 0, 31 )
( 30, 66 )
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Use point-slope formula:
For pork:
+%28+y+-+52+%29+%2F+%28+x+-+30+%29+=+%28+62+-+52+%29+%2F+%28+0+-+30+%29+
+%28+y+-+52+%29+%2F+%28+x+-+30+%29+=+10+%2F+%28-30%29+
+%28+y+-+52+%29+%2F+%28+x+-+30+%29+=+-1%2F3+
+y+-+52++=+%28+-1%2F3+%29%2A%28+x+-+30+%29+
+y+-+52+=++%28-1%2F3%29%2Ax+%2B+10+
+y+=+%28-1%2F3%29%2Ax+%2B+62+
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For chicken:
+%28+y+-+31+%29+%2F+%28+x+-+0+%29+=+%28+66+-+31+%29+%2F+%28+30+-+0+%29+
+%28+y+-+31+%29+%2F+%28+x+-+0+%29+=+35+%2F+30+
+%28+y+-+31+%29+%2F+%28+x+-+0+%29+=+7%2F6+
+y+-+31+=+%287%2F6%29%2Ax+
+y+=+%287%2F6%29%2Ax+%2B+31+
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For what values of +x+ is +y%5Bc%5D+%3E+y%5Bp%5D+ ?
+%28+7%2F6+%29%2Ax+%2B+31+%3E+%28+-1%2F3+%29%2Ax+%2B+62+
+%28+7%2F6+%29%2Ax+%2B+%28+2%2F6+%29%2Ax++%3E+31+
+%289%2F6%29%2Ax+%3E+31+
+x+%3E+%282%2F3%29%2A31+
+x+%3E+20.667+
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After 1920 and 9 months, chicken consumption
is greater
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Here are plots of the 2 lines: