document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058233>Question 1058233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An aftershock measuring 5.5 on the Richter scale occurred south of Christchurch, New Zealand in<BR>\n" );
document.write( "June 2011. The magnitude,<BR>\n" );
document.write( "M<BR>\n" );
document.write( "of an earthquake that is<BR>\n" );
document.write( "T<BR>\n" );
document.write( "times more intense than an earthquake<BR>\n" );
document.write( "measuring 5.5 on the Richter scale can be modeled by the following function:<BR>\n" );
document.write( "M = log(T) + 5.5 <BR>\n" );
document.write( "every one unit of increase on the Richter scale, the intensity of an earthquake increases 10 fold.<BR>\n" );
document.write( "a) Graph the function, [show window] and determine how much more intense an earthquake<BR>\n" );
document.write( " measuring 7.7 that occurred on Queen Charlotte Islands in October 2012 was than the<BR>\n" );
document.write( " aftershock in New Zealand.<BR>\n" );
document.write( "b) Determine the value of the function at T=3<BR>\n" );
document.write( "explain the answer in the context of this question </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673264 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=673264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7.7=log(t)+5.5<BR>\n" );
document.write( "log (t)=2.2<BR>\n" );
document.write( "t=10^2.2=158.5 times more intense.  Second graph below.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "when t=3<BR>\n" );
document.write( "M=log(3)+5.5<BR>\n" );
document.write( "M=5.97  First graph below.<BR>\n" );
document.write( "An earthquake that is three times more intense than the one in ChCh has a magnitude of 5.97 or 6.0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C50%2C-8%2C20%2C%281%2F2.303%29%2Aln%28x%29%2B5.5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C50%2C-8%2C20%2C%281%2F2.303%29%2Aln%28x%29%2B5.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C3.5%2C-10%2C300%2C-5.5%2B10%5E%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C3.5%2C-10%2C300%2C-5.5%2B10%5E%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );