document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118366>Question 118366</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Jane and some students from her geometry class went outside to measure their shadows. Jane measured Tonya's and Seth's shadows and recorded the information in the table below  <BR>\n" );
document.write( "                        Height(x)      shadow length(y)<BR>\n" );
document.write( "                        158cm           106cm<BR>\n" );
document.write( "                        166cm           112cm<BR>\n" );
document.write( " Using the information in the table provided above and answer the following and show your work:<BR>\n" );
document.write( "a. Find the slope of a line representing this data in the table above.\r<BR>\n" );
document.write( "\n" );
document.write( "b. Using the slope and one of the points in the table, write an equation in slope-intercept form representing the student's shadow in relation to height.\r<BR>\n" );
document.write( "\n" );
document.write( "c. Jane forgot to include her shadow in the student data. She measured her height and recorded 164 cm. What should she record for her shadow length?<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 #86482 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=86482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jane and some students from her geometry class went outside to measure their shadows. Jane measured Tonya's and Seth's shadows and recorded the information in the table below <BR>\n" );
document.write( "Height(x) shadow length(y)<BR>\n" );
document.write( "158cm 106cm<BR>\n" );
document.write( "166cm 112cm<BR>\n" );
document.write( "Using the information in the table provided above and answer the following and show your work:<BR>\n" );
document.write( "a. Find the slope of a line representing this data in the table above.<BR>\n" );
document.write( "slope = (112-106)/(165-158) = 6/8= 3/4<BR>\n" );
document.write( "-------------------------------------- <BR>\n" );
document.write( "b. Using the slope and one of the points in the table, write an equation in slope-intercept form representing the student's shadow in relation to height.<BR>\n" );
document.write( "shadow = (3/4)height + b<BR>\n" );
document.write( "Substitute to solve for \"b\":<BR>\n" );
document.write( "106 = (3/4)158+b<BR>\n" );
document.write( "b = 106-118.5<BR>\n" );
document.write( "b = -12.5<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "s(h)=(3/4)h-12.5<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "c. Jane forgot to include her shadow in the student data. She measured her height and recorded 164 cm. What should she record for her shadow length?<BR>\n" );
document.write( "s(164) = (3/4)164-12.5<BR>\n" );
document.write( "s(164) = 110.5 cm<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );