document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212471>Question 212471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=8x^2.\r<BR>\n" );
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document.write( "Find a value A such that the average rateof change of f(x) from 1 to A equals 88. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160432 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=160432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=8x^2. <BR>\n" );
document.write( "Find a value A such that the average rateof change of <BR>\n" );
document.write( "f(x) from 1 to A equals 88.<BR>\n" );
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document.write( "Average = [f(A)-f(1)]/[A-1]<BR>\n" );
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document.write( "88 = [8A^2 - 8]/[A-1]<BR>\n" );
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document.write( "8A^2 - 8 = 88A - 88<BR>\n" );
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document.write( "A^2 -1 = 11A - 11<BR>\n" );
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document.write( "A^2 - 11A + 10 = 0<BR>\n" );
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document.write( "(A-10)(A-1) = 0<BR>\n" );
document.write( "A = 10 or A = 1<BR>\n" );
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document.write( "Reasonable solution:<BR>\n" );
document.write( "A = 10<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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