document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190124>Question 190124</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321334336/algebrahomeworkh>Mathmatics with Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> According to the data from the U.S. department of Agriculture, the annual per capita consumption of red meat in the US has declined in a linear fashion from 131.7 pounds in 1970 to 107.7 in 2000.<BR>\n" );
document.write( "a.  Let x=0 correspond to 1900 and find the rule of a linear function that gives the approximate annual per capita consumption of red meat in year x.<BR>\n" );
document.write( "b.  If this trend continues in what year will per capita consumption be 100 pounds? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142685 by </B><A HREF=/tutors/aboutme.mpl?userid=cutepiscean5><B>cutepiscean5(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cutepiscean5><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) let the years denote the x-coordinates and the consumption of red meat be denoted by the y-coordinates, then we are given the following coordinates:\r<BR>\n" );
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document.write( "Since, year 1900 corresponds to x = 0, the year 1970, will correspond to  x = 70. so when x = 70, y = 131.7 pounds. The point can be represented as <BR>\n" );
document.write( " (70,131.7)<BR>\n" );
document.write( "similarly, when year is 2000, then x = (2000 - 1900) = 100. so we have <BR>\n" );
document.write( " (100, 107.7) as another coordinate in our xy-system.\r<BR>\n" );
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document.write( "now since we have two points, using the point-slope formula we can determine the linear equation as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-y%5B1%5D+=+%28%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29+%29%2A%28x+-+x%5B1%5D%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B1%5D+=+70+ ALIGN=MIDDLE  ALT=\"+x%5B1%5D+=+70+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B2%5D+=+100+ ALIGN=MIDDLE  ALT=\"+x%5B2%5D+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+131.7+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+131.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B2%5D+=+107.7+ ALIGN=MIDDLE  ALT=\"+y%5B2%5D+=+107.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "thus the equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-+131.7+=+%28%28107.7+-+131.7%29+%2F+%28100+-+70%29+%29%2A%28x+-+70%29+ ALIGN=MIDDLE  ALT=\"+y-+131.7+=+%28%28107.7+-+131.7%29+%2F+%28100+-+70%29+%29%2A%28x+-+70%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+131.7+=+%28-30+%2F+30%29+%2A+%28x+-+70%29+ ALIGN=MIDDLE  ALT=\"+y+-+131.7+=+%28-30+%2F+30%29+%2A+%28x+-+70%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+131.7+=+%28-1%29+%2A+%28x+-+70%29+ ALIGN=MIDDLE  ALT=\"+y+-+131.7+=+%28-1%29+%2A+%28x+-+70%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+131.7+=+-x+%2B+70+ ALIGN=MIDDLE  ALT=\"+y+-+131.7+=+-x+%2B+70+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y++=+-x+%2B+70+%2B+131.7+ ALIGN=MIDDLE  ALT=\"+y++=+-x+%2B+70+%2B+131.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28y++=+-x+%2B+201.7%29+ ALIGN=MIDDLE  ALT=\"+highlight%28y++=+-x+%2B+201.7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > -- this is the rule.\r<BR>\n" );
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document.write( "____________________________________________________________________________\r<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "we are given y = 100 pounds, we need to determine that value of x for which y = 100 pounds. We plug this value of y in our equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y++=+-x+%2B+201.7+ ALIGN=MIDDLE  ALT=\"+y++=+-x+%2B+201.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100++=+-x+%2B+201.7+ ALIGN=MIDDLE  ALT=\"+100++=+-x+%2B+201.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x++=+201.7+-+100+ ALIGN=MIDDLE  ALT=\"+x++=+201.7+-+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+101.7+ ALIGN=MIDDLE  ALT=\"+x+=+101.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can take x approx as 102. so the year would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1900+%2B+102+=+2002+ ALIGN=MIDDLE  ALT=\"+1900+%2B+102+=+2002+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps.<BR>\n" );
document.write( " </SPAN>\n" );
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