document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188560>Question 1188560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been raising chickens for four years and it seems that their population has been increasing exponentially. If initially, there were four chickens and there are now 12 chickens, <BR>\n" );
document.write( "a. Use the given information to find the growth rate of the chicken population, assume continuous compounding. <BR>\n" );
document.write( "b. Write an exponential model that describes the number of chickens at time 𝑡, in years, where 𝑡 = 0 corresponds to the present day. <BR>\n" );
document.write( "c. How many chickens will there be in 3 years? <BR>\n" );
document.write( "d. In what year will there be more than 300 chickens? <BR>\n" );
document.write( "e. Is this a realistic model for the population of chickens? Explain.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819681 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ae%5Ert=12 ALIGN=MIDDLE  ALT=\"4%2Ae%5Ert=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E4t=3 ALIGN=MIDDLE  ALT=\"e%5E4t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=ln%283%29%2F4 ALIGN=MIDDLE  ALT=\"t=ln%283%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~27.47%<BR>\n" );
document.write( "b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=4%2Ae%5E%280.2747%2At%29 ALIGN=MIDDLE  ALT=\"P=4%2Ae%5E%280.2747%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can use this model to answer the rest of the questions. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );