document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212469>Question 212469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(t)=1/t. Find a value of t such that the average rate of change of f(t)<BR>\n" );
document.write( "from 1 to t equals -113<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160460 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=160460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(t) = 1/t<BR>\n" );
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document.write( "f(1) = 1/1 =1,,,,,,,(1,1)<BR>\n" );
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document.write( "f(t) = 1/t,,,,,,,,,,,(t,1/t)<BR>\n" );
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document.write( "rate  of  change  is  slope  = (y2-y1)/(x2-x1) = {(1/t) -1}/ {t-1) = {(1-t)/t}/{t-1)= {(-1)(t-1)/t} /{t-1} = -1/t<BR>\n" );
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document.write( "m(-113) = -1/(-113) = + 1/113<BR>\n" );
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document.write( "check:,,,,,f(1) =1,,,,(1,1)<BR>\n" );
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document.write( "f(-113)= -1/113,,,,,,,(-113, -1/113)<BR>\n" );
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document.write( "m= {1-(-1/113)}/ {1-(-113)}= {1+1/113}/ {1+113)= {(113+1)/113} /(1+113) = 1/113,,ok<BR>\n" );
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