document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953952>Question 953952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bacteria culture started with 7,500 bacteria and increased by 45% in the first two hours.<BR>\n" );
document.write( "a) Find an expression for the number of bacteria t hours after it was first observed.<BR>\n" );
document.write( "b) Find the number of bacteria that will be present after 8 hours.<BR>\n" );
document.write( "c) When will the population reach 25,000?<BR>\n" );
document.write( "d) How long does it take the population to triple in size? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582629 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</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=582629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Growth Model, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=p%2Ae%5E%28kt%29 ALIGN=MIDDLE  ALT=\"y=p%2Ae%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The description helps for finding k.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28p%29%2Bkt ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28p%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%28p%29 ALIGN=MIDDLE  ALT=\"kt=ln%28y%29-ln%28p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Allowing for two equivalent formulas:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28k=ln%28y%2Fp%29%2Ft%29 ALIGN=MIDDLE  ALT=\"highlight_green%28k=ln%28y%2Fp%29%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t=ln%28y%2Fp%29%2Fk%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t=ln%28y%2Fp%29%2Fk%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The description assigns <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=7500 ALIGN=MIDDLE  ALT=\"p=7500\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7500%2B%280.45%29%2A7500 ALIGN=MIDDLE  ALT=\"y=7500%2B%280.45%29%2A7500\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2 ALIGN=MIDDLE  ALT=\"t=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Compute k from that and then do the rest of the questions. </SPAN>\n" );
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