document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607678>Question 607678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a food is dropped on the floor and is growing bacteria exponentially according to the model y=2e^kt where t is time in seconds\r<BR>\n" );
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document.write( "if there are 2 cells initially and 8 cells after 20 seconds, find the value of k for the bacteria and frind how much bacteria is on the food after 5 seconds </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382927 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=382927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> model y=2e^kt where t is time in seconds<BR>\n" );
document.write( "if there are 2 cells initially and 8 cells after 20 seconds, find the value of k for the bacteria<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ae%5E%2820k%29+=+8 ALIGN=MIDDLE  ALT=\"2%2Ae%5E%2820k%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%2820k%29+=+4 ALIGN=MIDDLE  ALT=\"e%5E%2820k%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using natural logs<BR>\n" );
document.write( "20k = ln(4)<BR>\n" );
document.write( "20k = 1.3863<BR>\n" );
document.write( "k = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.3963%2F20 ALIGN=MIDDLE  ALT=\"1.3963%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "k = .0693<BR>\n" );
document.write( ":<BR>\n" );
document.write( "find how much bacteria is on the food after 5 seconds<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ae%5E%285%2A.0693%29 ALIGN=MIDDLE  ALT=\"2%2Ae%5E%285%2A.0693%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 2.74 ~ 3 cells </SPAN>\n" );
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