document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042274>Question 1042274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person who takes up running for exercise can run 8 miles without stopping.  She has also found that she can increase this distance by 5 percent every month.<BR>\n" );
document.write( "Referring to the above scenario, how many months will it be before she can run in a 10-mile race WITHOUT stopping? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657258 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=657258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Points (x,y) for months, and corresponding distance in miles.  Two points are  (0,8) and (x,10), but you do not know this x.  \r<BR>\n" );
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document.write( "You could recognize that a change rate  is given as  0.05 of distance per month.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%281.05%29%5Ex=10 ALIGN=MIDDLE  ALT=\"8%281.05%29%5Ex=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%288%29%29%2Bx%2Alog%28%281.05%29%29=log%28%2810%29%29 ALIGN=MIDDLE  ALT=\"log%28%288%29%29%2Bx%2Alog%28%281.05%29%29=log%28%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and using base 10 might be easier.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28log%28%2810%29%29-log%28%288%29%29%29%2Flog%28%281.05%29%29 ALIGN=MIDDLE  ALT=\"x=%28log%28%2810%29%29-log%28%288%29%29%29%2Flog%28%281.05%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.09691%2F0.021189 ALIGN=MIDDLE  ALT=\"0.09691%2F0.021189\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4.573 ALIGN=MIDDLE  ALT=\"x=4.573\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "about 4 months and some fraction of a week.<BR>\n" );
document.write( "Maybe 4 months and 2 days; but \"4 months\" is probably good enough accuracy. </SPAN>\n" );
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