Monday, May 24, 2010

1. Biologists want to set up a station to test alligators in the lake for the West Nile Virus. Suppose that?

the costs for such a station are $ 2,500 for setup costs and $3.00 to administer each test.





a. Write and expression that gives the total cost to test x animals.





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.





c. Find the average cost per animal for 10 animals. 100animals, 1,000 animals.





d. As the number of animals tested increase, 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 you answer. If not explain how you know





e. How many animals should be tested for the average cost to be $5.00 per animal?

1. Biologists want to set up a station to test alligators in the lake for the West Nile Virus. Suppose that?
a) C=2500+3x


b)Avg. cost = 2500/x+3


c)253,18,5.5


d) as can be seen in part c) the cost is going down as the number of animals increases.


But it will never go below $3 because in the equation in b) the constant parameter is +3 so whatever may be the variable componenet 2500/x, 3 would always be added to it


e) avg cost= 5


5=2500/x+3


5-3=2500/x


2=2500/x


x=2500/2=1250


so when 1250 animals are tested the avg cost becomes $5


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