document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320269>Question 320269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the cost 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.<BR>\n" );
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.<BR>\n" );
document.write( "c.Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals.<BR>\n" );
document.write( "d.As the number of animals 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.<BR>\n" );
document.write( "e. How many animals should be testes for the average cost to be $5.00 per animal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229392 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=229392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the cost for such a station are $2,500 for setup costs and $3.00 to administer each test. <BR>\n" );
document.write( "a. Write an expression that gives the total cost to test x animals.<BR>\n" );
document.write( "C(x) = 2500 + 3x<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.<BR>\n" );
document.write( "Ave = (2500+3x)/x<BR>\n" );
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document.write( "c.Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals.<BR>\n" );
document.write( "Ave(10) = (2530)/10 = $253<BR>\n" );
document.write( "Ave(100) = (2800)/100 = $28<BR>\n" );
document.write( "Ave(1000) = (5500)/1000 = $5.50<BR>\n" );
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document.write( "d.As the number of animals 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.<BR>\n" );
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document.write( "Horizontal asymptotte at Ave(x) = 3<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?<BR>\n" );
document.write( "Solve: 5 = (2500+3x)/x<BR>\n" );
document.write( "5x = 2500+3x<BR>\n" );
document.write( "2x = 2500<BR>\n" );
document.write( "x = 1250<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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