document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140641>Question 140641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled. \r<BR>\n" );
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document.write( "a.	Write an equation using only one variable that could be used to solve for the constant of variation k. \r<BR>\n" );
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document.write( "b.	A biologist counted the number of white tail deer in a 100 acre parcel of land in a nature preserve and found 12 deer. Find the constant of variation k. \r<BR>\n" );
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document.write( "c.	If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived at your answer. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102354 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=102354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let p=# of animals and a=size of habitat\r<BR>\n" );
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document.write( "So if the \"total population of animals is directly proportional to the size of the habitat\", this means that we have the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=k%2Aa ALIGN=MIDDLE  ALT=\"p=k%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "In this case p=12 and a=100\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=k%2Aa ALIGN=MIDDLE  ALT=\"p=k%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the equation we found earlier\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=k%2A100 ALIGN=MIDDLE  ALT=\"12=k%2A100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in p=12 and a=100\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F100=k ALIGN=MIDDLE  ALT=\"12%2F100=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 100 to isolate k\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.12=k ALIGN=MIDDLE  ALT=\"0.12=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So the constant of variation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.12 ALIGN=MIDDLE  ALT=\"k=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=k%2Aa ALIGN=MIDDLE  ALT=\"p=k%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the earlier equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.12%2Aa ALIGN=MIDDLE  ALT=\"p=0.12%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the constant of variation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.12 ALIGN=MIDDLE  ALT=\"k=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.12%2A2500 ALIGN=MIDDLE  ALT=\"p=0.12%2A2500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2500 ALIGN=MIDDLE  ALT=\"a=2500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=300 ALIGN=MIDDLE  ALT=\"p=300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So in a 2,500 acre parcel of land, there are 300 deer.\r<BR>\n" );
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document.write( "By using the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.12%2Aa ALIGN=MIDDLE  ALT=\"p=0.12%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > (we needed to solve for k first), we were able to find the number of deer on a given portion of land<BR>\n" );
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