document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103928>Question 1103928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a Microbiology class laboratory experiment the following data was obtained using certain bacteria in the incubator in a specified environment.\r<BR>\n" );
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document.write( "Time in Hours: 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |\r<BR>\n" );
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document.write( "Number of Bacteria: 500 | 645 | 825 | 1060 | 1360 | 1750 | 2250 | 2890\r<BR>\n" );
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document.write( "Find the equation for the exponential model corresponding to the data. Find R for the model. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718667 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39631)</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=718667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Time in Hours:        0 |  1  |  2  |  3   |   4  |   5  |  6   |  7  |\r\n" );
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document.write( "Number of Bacteria: 500 | 645 | 825 | 1060 | 1360 | 1750 | 2250 | 2890  , call each Y\r\n" );
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document.write( "log base 10 of Y:  2.70 | 2.81| 2.92| 3.03 | 3.13 | 3.24 | 3.35 | 3.46\r\n" );
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document.write( "Difference            0.11   0.11  0.11  0.10   0.11   0.11    0.11\r\n" );
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document.write( "Notice that the differences in log base 10 for Y are nearly all the same, 0.11.  This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2CY%29 ALIGN=MIDDLE  ALT=\"log%2810%2CY%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is a linear function of time x in hours.  You could choose as a vertical axis intercept,  (0, 2.70).  The goal is to finally get an exponential function but you can start with the linear form of it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28Y%29%29=0.11x%2B2.70 ALIGN=MIDDLE  ALT=\"log%28%28Y%29%29=0.11x%2B2.70\"   DISABLED_style= \"max-width:90%; height:auto;\" >, continue from here.<BR>\n" );
document.write( "(Or better,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28Y%29%29=0.11x%2Blog%28%28500%29%29 ALIGN=MIDDLE  ALT=\"log%28%28Y%29%29=0.11x%2Blog%28%28500%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ).\r<BR>\n" );
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document.write( "You can get  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Y=500%2A10%5E%280.11x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28Y=500%2A10%5E%280.11x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You could choose base other than 10 and find something similar. </SPAN>\n" );
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