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application of linear equation and cost function

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Environmental and wildlife preservation ensures future generations will have available resources and can enjoy the beauty of Earth. On the other hand, some of the damage humans have already done to the environment is expensive and time consuming to eradicate.
1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by C = 6000 / (200 - 2x)
a. What is the cost to remove 75% of the pollution?
b. What is the cost to remove 90% of the pollution?
c. What is the cost to remove 99% of the pollution?
d. For what value is this equation undefined?
Hint: The equation is undefined when the denominator is equal to zero. So, set the expression in the denominator equal to zero and solve for x.
e. Do the answers to sections a-d match your expectation? Why or why not?

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.
a. Write an 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. 100 animals. 1,000 animals.
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.
e. How many animals should be tested for the average cost to be $5.00 per animal?

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