document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56998>Question 56998</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Business and finance. In planning for a new item, a manufacturer assumes that<BR>\n" );
document.write( "the number of items produced x and the cost in dollars C of producing these items<BR>\n" );
document.write( "are related by a linear equation. Projections are that 100 items will cost $10,000 to<BR>\n" );
document.write( "produce and that 300 items will cost $22,000 to produce. Find the equation that<BR>\n" );
document.write( "relates C and x <BR>\n" );
document.write( "Thank you<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38747 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=38747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Projections are that 100 items will cost $10,000 to<BR>\n" );
document.write( "produce and that 300 items will cost $22,000 to produce. Find the equation that<BR>\n" );
document.write( "relates C and x <BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "You have two points to work with: (100,10000) and (300,22000)<BR>\n" );
document.write( "You want C=mx+b and need to know m and b:<BR>\n" );
document.write( "m= [22000-10000]/[300-100]=12000/200=60<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "10000=60(100)+b<BR>\n" );
document.write( "10000=6000+b<BR>\n" );
document.write( "b=4000<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "Cost=60x+4000<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );