document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197676>Question 197676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was given the following table<BR>\n" );
document.write( "Input (x)--output(y)<BR>\n" );
document.write( " 1--8<BR>\n" );
document.write( " 2--14<BR>\n" );
document.write( " 3--18<BR>\n" );
document.write( " 4--24<BR>\n" );
document.write( "I noticed that there was a pattern in the output with the numbers ending in either an 8 or a 4. I need a rule that explains the pattern. So far I have only come up with that when the input (x) is even, the rule is 5(x)+ 4.  When the input (x) is odd, the rule is 5(x) + 3.  I am not sure if this is correct or if there can be two different rules for one pattern. Is there a rule that fits every situation on this input/output chart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148228 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=148228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I was given the following table<BR>\n" );
document.write( "Input (x)--output(y)<BR>\n" );
document.write( "1--8<BR>\n" );
document.write( "2--14<BR>\n" );
document.write( "3--18<BR>\n" );
document.write( "4--24<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Using the point (1,8) and (4,24)<BR>\n" );
document.write( "slope = (24-8)/(4-1) = 16/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "intercept = ?<BR>\n" );
document.write( "8 = (16/3)*1 + b<BR>\n" );
document.write( "b = (24/3)-(16/3)<BR>\n" );
document.write( "b = 8/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = (16/3)x + (8/3)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Another answer could be<BR>\n" );
document.write( "y = (2/3)x^3 -5x^2 + (49/3)X -4<BR>\n" );
document.write( "=====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );