```Question 320269
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.
a. Write an expression that gives the total cost to test x animals.
C(x) = 2500 + 3x
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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.
Ave = (2500+3x)/x
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c.Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals.
Ave(10) = (2530)/10 = \$253
Ave(100) = (2800)/100 = \$28
Ave(1000) = (5500)/1000 = \$5.50
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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.
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Horizontal asymptotte at Ave(x) = 3
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e. How many animals should be tested for the average cost to be \$5.00 per animal?
Solve: 5 = (2500+3x)/x
5x = 2500+3x
2x = 2500
x = 1250
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Cheers,
Stan H.
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```