document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464351>Question 464351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the average rate of change for f(x)= 4x² from 0 to 7/4<BR>\n" );
document.write( "and the equation of the secant line containing (0, f(0)) and (7/4, f(7/4)). Please show all of your work.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318120 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=318120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the average rate of change for f(x)= 4x² from 0 to 7/4<BR>\n" );
document.write( "and the equation of the secant line containing (0, f(0)) and (7/4, f(7/4)). Please show <BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The average rate of change is the slope of the line joining the two points.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "slope = [f(7/4)-f(0)]/[(7/4)-0]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(7/4) = 4(7/4)^2 = 49/4<BR>\n" );
document.write( "------<BR>\n" );
document.write( "slope = [(49/4)-0]/[7/4] = (49/4)/[7/4] = 7<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Equation of the line thru (0,0) and with slope = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equation Form: y = mx + b<BR>\n" );
document.write( "0 = 7*0 + b<BR>\n" );
document.write( "b = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equation of the secant: y = 7x<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========== </SPAN>\n" );
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