document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972870>Question 972870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A colony of bacteria has an initial population of 1500 bacteria. After 1 hour, the colony has grown to a size of 1750 bacteria. Which of the following is an<BR>\n" );
document.write( "exponential function that approximately describes the number of bacteria as a<BR>\n" );
document.write( "function of time t hours after the initial observation of 1500 bacteria? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595105 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=595105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P=Poe{1+r}^n<BR>\n" );
document.write( "1750=1500{1+r}^1, since n=1 hour<BR>\n" );
document.write( "1.1166=1+r  ; divided 1750/1500 and n=1<BR>\n" );
document.write( "r=0.1166\r<BR>\n" );
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document.write( "An exponential function that is increasing is Starting value*(1+r)^n; r is the rate per n unit time, and n is the number of times.  Here, with only one hour, the rate is 0.1166.  This does describe the behavior after 1 hour, but after several hours, there may well be better functions that describe the behavior. </SPAN>\n" );
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