document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390844>Question 390844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to help my daughter understand how to solve a word problem but can't remember how to solve it myself - <BR>\n" );
document.write( "\"If sales of 30 cattle bring in a profit of $4500 and  sales of 50 cattle bring in a profit of $12,500, and the profit model is linear, how much profit will the sale of 75 cattle bring in?\"<BR>\n" );
document.write( "$4,500 divided by 30 = $150 per head<BR>\n" );
document.write( "$12,500 divided by 50 = $250 per head<BR>\n" );
document.write( "my thought was that linear would mean 75 x $350 = $26,250 but that was not one of the multiple choice answers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277192 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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/cgi-bin/show-face.mpl?user=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the linear profit model means that the income per steer (slope) is constant , but there is also overhead or fixed costs (intercept)\r<BR>\n" );
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document.write( "20 more cattle (50 - 30) bring in 8000 more dollars (12500 - 4500)<BR>\n" );
document.write( "so the income per steer is ___ 8000/20 or 400\r<BR>\n" );
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document.write( "30 cattle means income of 12000 , but only 4500 profit<BR>\n" );
document.write( "this indicates a fixed cost (overhead) of 7500 ___ this checks out for 50 cattle\r<BR>\n" );
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document.write( "the equation is ___ p = 400c - 7500\r<BR>\n" );
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document.write( "plug in 75 for c to find your answer </SPAN>\n" );
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