document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166192>Question 166192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test. \r<BR>\n" );
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document.write( "a.	Write an expression that gives the total cost to test x animals.\r<BR>\n" );
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document.write( "b.	You can find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal.\r<BR>\n" );
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document.write( "c.	Find the average cost per animal for 10 animals. 100 animals. 1,000 animals.\r<BR>\n" );
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document.write( "d.	As the number of animals tested increases, what happens to the average cost to test the animals? Would the average cost ever fall below $3.00? If so, identify a value that supports your answer. If not, explain how you know. \r<BR>\n" );
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document.write( "e.	How many animals should be tested for the average cost to be $5.00 per animal? \r<BR>\n" );
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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 #122475 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=122475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK we are given fixed cost of 2500. Lets call total cost C and the number of animals A. We are given an additional cost of $3.00 for each test administered to an animal.\r<BR>\n" );
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document.write( "a. so to express total cost to test A animals we have<BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=2500%2B3A ALIGN=MIDDLE  ALT=\"C=2500%2B3A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b. Average cost per animal would be total cost divided by total number of animals  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2FA ALIGN=MIDDLE  ALT=\"C%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c For 10   animals we have (2500+3(10)/10= $253/animal<BR>\n" );
document.write( "  For 100  animals we have (2500+3(100)/100= $28/animal<BR>\n" );
document.write( "  For 1000 animals we have (2500+3(1000)/1000= $5.4/animal \r<BR>\n" );
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document.write( "d. the avg cost per animal decreases as the amount of animals increases.\r<BR>\n" );
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document.write( "   the avg cost per animal will never go below 3--->avg cost =(2500+3A)/A<BR>\n" );
document.write( "    or (2500/A)+3   so it can get close to $3/animal but never quite reachs it.<BR>\n" );
document.write( "e  (2500+3A)/A=5  so 2A=2500 A=1250 animals to avg $5 in costs </SPAN>\n" );
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