document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79512>Question 79512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem:<BR>\n" );
document.write( "In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation.  Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce.  Find the equation that relates C and x.\r<BR>\n" );
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document.write( "Hint:  This is just like other linear equations.  Pretend that C is y.<BR>\n" );
document.write( "y = mx + b<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57058 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=57058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce.  Find the equation that relates C and x.<BR>\n" );
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document.write( "You have two points and you want the equation of the line.<BR>\n" );
document.write( "Points: (100,10000) (300,22000)<BR>\n" );
document.write( "slope = [22000-10000]/[300-100]=12000/200=60<BR>\n" );
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document.write( "Form of the line C=mx+b; you need to find \"b\".<BR>\n" );
document.write( "10000=60*100+b<BR>\n" );
document.write( "b=4000<BR>\n" );
document.write( "C=60x+4000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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