document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190046>Question 1190046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An initial population of 280 fish is introduced into a lake. This fish population grows according to a continuous exponential growth<BR>\n" );
document.write( "model. There are 588 fish in the lake after 8 years.<BR>\n" );
document.write( "(a) Let t be the time (in years) since the initial population is introduced,<BR>\n" );
document.write( "and let y be the number of fish at time t.<BR>\n" );
document.write( "Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations.\r<BR>\n" );
document.write( "\n" );
document.write( "(b) How many fish are there 19 years after the initial population is<BR>\n" );
document.write( "introduced? Do not round any intermediate computations, and round your<BR>\n" );
document.write( "answer to the nearest whole number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821606 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=821606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -------------------------------------------------------------------<BR>\n" );
document.write( "280 fish is introduced into a lake. This fish population grows according to a continuous exponential growth<BR>\n" );
document.write( "model. There are 588 fish in the lake after 8 years.<BR>\n" );
document.write( "(a) Let t be the time (in years) since the initial population is introduced,<BR>\n" );
document.write( "and let y be the number of fish at time t.<BR>\n" );
document.write( "---------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=280%2Ab%5Et ALIGN=MIDDLE  ALT=\"y=280%2Ab%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Et=y%2F280 ALIGN=MIDDLE  ALT=\"b%5Et=y%2F280\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28b%5Et%29%29=log%28%28y%2F280%29%29 ALIGN=MIDDLE  ALT=\"log%28%28b%5Et%29%29=log%28%28y%2F280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Alog%28%28b%29%29=log%28%28y%2F280%29%29 ALIGN=MIDDLE  ALT=\"t%2Alog%28%28b%29%29=log%28%28y%2F280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28b%29%29=%281%2Ft%29log%28%28y%2F280%29%29 ALIGN=MIDDLE  ALT=\"log%28%28b%29%29=%281%2Ft%29log%28%28y%2F280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If base ten, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28b%29%29=%281%2F8%29log%28%28588%2F280%29%29 ALIGN=MIDDLE  ALT=\"log%28%28b%29%29=%281%2F8%29log%28%28588%2F280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28b%29%29=0.0402774118 ALIGN=MIDDLE  ALT=\"log%28%28b%29%29=0.0402774118\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=10%5E%280.0402774118%29 ALIGN=MIDDLE  ALT=\"b=10%5E%280.0402774118%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1.097 ALIGN=MIDDLE  ALT=\"b=1.097\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=280%281.097%29%5Et%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=280%281.097%29%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );