document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042924>Question 1042924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ten goats were set loose in an island and their population growth can be approximated by the function:<BR>\n" );
document.write( "p(t)=greatest integer function of [60(t+1)] / (t+6)\r<BR>\n" );
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document.write( "where p represents the goat population in year t since they were set loose.\r<BR>\n" );
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document.write( "a)how many goats there will be in 5 years?<BR>\n" );
document.write( "b)what is the maximum goat population that the island can support?\r<BR>\n" );
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document.write( "p.s.<BR>\n" );
document.write( "I don't know how to write the greatest integer function sign so i just write it into words. (: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658009 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=658009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Ten goats were set loose in an island and their population growth can be approximated by the function:<BR>\n" );
document.write( "p(t)=greatest integer function of [60(t+1)] / (t+6) <BR>\n" );
document.write( "where p represents the goat population in year t since they were set loose.<BR>\n" );
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document.write( "a)how many goats there will be in 5 years?<BR>\n" );
document.write( "p(5) = [60(5+1)]/(6+6) = [360]/12 = [30] = 30<BR>\n" );
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document.write( "b)what is the maximum goat population that the island can support?<BR>\n" );
document.write( "As t goes to +oo, p(t) goes to 60t/t = 60<BR>\n" );
document.write( "That is the horizontal asymptote and the answer.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "  </SPAN>\n" );
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