document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231853>Question 231853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> directions: For this situation, find a linear model and use it to make a prediction.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "situation: The cost of producing 4 units is $204.80. The cost of producing 8 units is $209.60. How much does it cost to produce 12 units? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171487 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=171487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost of producing 4 units is $204.80. The cost of producing 8 units is $209.60. How much does it cost to produce 12 units?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "You have two points: (4,205.80) and (8,209.60)<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "slope = (209.60-205.80)/(8-4) = 3.80/4 = 0.95<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Form: y = mx+b<BR>\n" );
document.write( "You know m = 0.95 and y = 205.80 when x = 4 ; solve for \"b\":<BR>\n" );
document.write( "205.80 = 0.95*4 + b<BR>\n" );
document.write( "b = 202.00<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "C(x) = 0.95x + 202.00<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "How much does it cost to produce 12 units?<BR>\n" );
document.write( "C(12) = 0.95*12 + 202<BR>\n" );
document.write( "C(12) = $213.40<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );