document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941757>Question 941757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The doubling time of a population of grasshoppers is 15 days. By what factor does the population of grasshoppers grow in 55 days?\r<BR>\n" );
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document.write( " (Round to the nearest tenth.)<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 #574130 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=574130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Exponential growth in general, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=Ie%5E%28kt%29 ALIGN=MIDDLE  ALT=\"y=Ie%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "y, population after time t<BR>\n" );
document.write( "t, time in days<BR>\n" );
document.write( "I, initial population, assumed t=0<BR>\n" );
document.write( "k, growth constant\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28I%29%2Bkt ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28I%29%2Bkt\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=kt=ln%28y%29-ln%28I%29 ALIGN=MIDDLE  ALT=\"kt=ln%28y%29-ln%28I%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%281%2Ft%29%28ln%28y%2FI%29%29 ALIGN=MIDDLE  ALT=\"k=%281%2Ft%29%28ln%28y%2FI%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the formula to determine value for k.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%281%2F15%29%28ln%282%29%29 ALIGN=MIDDLE  ALT=\"k=%281%2F15%29%28ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You may be able to use 15 and 55 to find the factor, knowing that 15 days is the DOUBLING time.<BR>\n" );
document.write( "... but continuing with the growth model,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.0462 ALIGN=MIDDLE  ALT=\"k=0.0462\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=Ie%5E%280.0462t%29 ALIGN=MIDDLE  ALT=\"y=Ie%5E%280.0462t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the specific model<BR>\n" );
document.write( "Let t=55.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2Ae%5E%280.0462%2A55%29 ALIGN=MIDDLE  ALT=\"y=1%2Ae%5E%280.0462%2A55%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=12.7%29 ALIGN=MIDDLE  ALT=\"highlight%28y=12.7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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