document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082254>Question 1082254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me solve this problem: In 2000 the population of a town was 35000. In 2010 it was 50000. Find an exponential model of the form f(t)=A base 0 e^kt for this population, where t is time in years since 2000. I also need help finding K but I think you have to use Ln logarithm but I am not sure.\r<BR>\n" );
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document.write( "Please and Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696322 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=696322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are given 2 points in the form ( t, f(t) )<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the time in years since 2000<BR>\n" );
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document.write( "The points are:<BR>\n" );
document.write( "( 0, 35000 )<BR>\n" );
document.write( "( 10, 50000 )<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28t%29+=+A%5B0%5D%2Ae%5E%28k%2At%29+ ALIGN=MIDDLE  ALT=\"+f%28t%29+=+A%5B0%5D%2Ae%5E%28k%2At%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can plug in the given points to <BR>\n" );
document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B0%5D+ ALIGN=MIDDLE  ALT=\"+A%5B0%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+ ALIGN=MIDDLE  ALT=\"+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35000+=+A%5B0%5D%2Ae%5E%28k%2A0%29+ ALIGN=MIDDLE  ALT=\"+35000+=+A%5B0%5D%2Ae%5E%28k%2A0%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35000+=+A%5B0%5D%2A1+ ALIGN=MIDDLE  ALT=\"+35000+=+A%5B0%5D%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B0%5D+=+35000+ ALIGN=MIDDLE  ALT=\"+A%5B0%5D+=+35000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50000+=+A%5B0%5D%2Ae%5E%28k%2A10%29+ ALIGN=MIDDLE  ALT=\"+50000+=+A%5B0%5D%2Ae%5E%28k%2A10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50000+=+35000%2Ae%5E%28k%2A10%29+ ALIGN=MIDDLE  ALT=\"+50000+=+35000%2Ae%5E%28k%2A10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5E%2810k%29+=+10%2F7+ ALIGN=MIDDLE  ALT=\"+e%5E%2810k%29+=+10%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the natural log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10k+=+ln%2810%29+-+ln%287%29+ ALIGN=MIDDLE  ALT=\"+10k+=+ln%2810%29+-+ln%287%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10k+=+2.3026+-+1.9459+ ALIGN=MIDDLE  ALT=\"+10k+=+2.3026+-+1.9459+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10k+=+.3567+ ALIGN=MIDDLE  ALT=\"+10k+=+.3567+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=+.03567+ ALIGN=MIDDLE  ALT=\"+k+=+.03567+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The equation is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28t%29+=+35000%2Ae%5E%28+.03567t+%29+ ALIGN=MIDDLE  ALT=\"+f%28t%29+=+35000%2Ae%5E%28+.03567t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check the math & get another<BR>\n" );
document.write( "opinion if needed\r<BR>\n" );
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document.write( " </SPAN>\n" );
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