document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953045>Question 953045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please assist me in setting this equation up and explain why I am doing it in such a way... please?<BR>\n" );
document.write( "A lake is stocked with a certain species of fish, the fish population is modeled by the function p=700/e^-0.8t<BR>\n" );
document.write( "where P is the number of fish in thousands and t is measured in years since the lake was stocked<BR>\n" );
document.write( "Find the fish population after 2 years?\r<BR>\n" );
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document.write( "After how many years will the fish population be 250000 fish?<BR>\n" );
document.write( "THanks!   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582004 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=582004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lake is stocked with a certain species of fish,<BR>\n" );
document.write( " the fish population is modeled by the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=700%2F%28e%5E%28-0.8t%29%29 ALIGN=MIDDLE  ALT=\"p=700%2F%28e%5E%28-0.8t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " where P is the number of fish in thousands<BR>\n" );
document.write( " and t is measured in years since the lake was stocked<BR>\n" );
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document.write( "Find the fish population after 2 years?<BR>\n" );
document.write( "t = 2,so we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=700%2F%28e%5E%28%28-0.8%2A2%29%29%29 ALIGN=MIDDLE  ALT=\"p=700%2F%28e%5E%28%28-0.8%2A2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=700%2F%28e%5E%28-1.6%29%29 ALIGN=MIDDLE  ALT=\"p=700%2F%28e%5E%28-1.6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find e^-1.6 on your calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=700%2F.2019 ALIGN=MIDDLE  ALT=\"p=700%2F.2019\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = 3,467 fish after 2 yrs<BR>\n" );
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document.write( "After how many years will the fish population be 250000 fish?<BR>\n" );
document.write( "Write this as<BR>\n" );
document.write( "250000 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=700%2F%28e%5E%28-.8t%29%29 ALIGN=MIDDLE  ALT=\"700%2F%28e%5E%28-.8t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by e^(-.8t)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250000%2Ae%5E%28-.8t%29+=+700 ALIGN=MIDDLE  ALT=\"250000%2Ae%5E%28-.8t%29+=+700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 250000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-.8t%29+=+700%2F250000 ALIGN=MIDDLE  ALT=\"e%5E%28-.8t%29+=+700%2F250000\"   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%28-.8t%29+=+.0028 ALIGN=MIDDLE  ALT=\"e%5E%28-.8t%29+=+.0028\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the nat log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%28-.8t%29%29+=+ln%28.0028%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%28-.8t%29%29+=+ln%28.0028%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the log equiv of exponents, find the ln of .0028<BR>\n" );
document.write( "-.8t*ln(e) = -5.878<BR>\n" );
document.write( "the ln of e is 1 so we can just write<BR>\n" );
document.write( "-.8t = -5.878<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5.878%29%2F%28-.8%29 ALIGN=MIDDLE  ALT=\"%28-5.878%29%2F%28-.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 7.35 years to increase to 250000 fish<BR>\n" );
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document.write( "did I explain well enough so you know what'sgoing on here? ankor@att.net\r<BR>\n" );
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document.write( " </SPAN>\n" );
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