document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461511>Question 461511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In January, your ceramics class begins with 12 students.  In every month after January, three new students join and one student drops out.<BR>\n" );
document.write( "(a)  Write a linear equation to model the situation.<BR>\n" );
document.write( "(b) Graph a model <BR>\n" );
document.write( "(c) Predict the size of your ceramics class in May and June.\r<BR>\n" );
document.write( "\n" );
document.write( "Need help with a and c and then will try my hand at the graphing. <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 #316482 by </B><A HREF=/tutors/aboutme.mpl?userid=graphmatics><B>graphmatics(170)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=graphmatics><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=graphmatics><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let y be the number of students in a given month. Let x be the number of months with x = 1 being January.<BR>\n" );
document.write( "then (x-1)*3 is the number of new students and (x-1) is the number of student drop outs. <BR>\n" );
document.write( "Then\r<BR>\n" );
document.write( "\n" );
document.write( "y = 12 + (x-1)*3 - (x-1)<BR>\n" );
document.write( "Lets simplify this as y = m*x+b<BR>\n" );
document.write( "So<BR>\n" );
document.write( "y = 12 + (x-1)*3 - (x-1)<BR>\n" );
document.write( "y = 12 + 3*x -3 -x +1<BR>\n" );
document.write( "y = 2*x + 10\r<BR>\n" );
document.write( "\n" );
document.write( "Here is the graph of the linear equation that models the situation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+16%2C+-2%2C+30%2C+2%2Ax%2B10%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+16%2C+-2%2C+30%2C+2%2Ax%2B10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "If in January x = 1 then in May x = 5. So the expression of the Linear Equation when x = 5 is\r<BR>\n" );
document.write( "\n" );
document.write( "y = 2*5 + 10<BR>\n" );
document.write( "y = 20<BR>\n" );
document.write( "and in June x = 6 so<BR>\n" );
document.write( "y = 22  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );