document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077660>Question 1077660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The amount a spring will stretch varies directly with the mass attached to the spring. The spring stretches 12<BR>\n" );
document.write( "cm when 8 kg is attached.<BR>\n" );
document.write( "a. Create an equation that represents the relationship.<BR>\n" );
document.write( "b. Create a labelled diagram of the relationship. Which variable is the dependent variable?<BR>\n" );
document.write( "c. How far will it stretch when 11 kg is attached?<BR>\n" );
document.write( "d. If a mass is attached to the spring and it stretches 42 cm, how much mass was there?<BR>\n" );
document.write( "e. Why does it make sense that this relationship is direct variation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692117 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=kx, where y is spring stretching in cm and x is weight in kg<BR>\n" );
document.write( "12=8k<BR>\n" );
document.write( "k=1.5<BR>\n" );
document.write( "use that in next part<BR>\n" );
document.write( "y=1.5*11=16.5cm.<BR>\n" );
document.write( "42=1.5*x<BR>\n" );
document.write( "x=28 kg<BR>\n" );
document.write( "it makes sense there is direct variation, because increased weight causes increased stretch.  The only concern one might have is whether it is exponential, but it is not.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );