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 #277194 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "This is nothing more than creating an equation given two ordered pairs and then using the equation to predict the location of a third point.  Instead of the normal x-y coordinate plane, you have a set of axes labeled 'Profit' on the vertical and 'Cattle sold' on the horizontal.  A point on your plane would then be identified by an ordered pair (c, p) where c is the number of cattle sold and p is the corresponding profit.\r<BR>\n" );
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document.write( "You are given two points, namely (30,4500) and (50,12500)\r<BR>\n" );
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document.write( "To derive your equation, use the two-point form of an equation of a straight line, namely:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ \left(\frac{y_1\ -\ y_2}{x_1\ -\ x_2}\right)(x\ -\ x_1) \">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_1,y_1\right)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_2,y_2\right)\"> are the coordinates of the given points.\r<BR>\n" );
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document.write( "Just fill in the numbers and do the necessary arithmetic to simplify your equation.  Once you have the equation written, substitute 75 for x and calculate the value of y, that is the profit that corresponds.  Let me know what you get for an answer.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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