Wednesday
April 16, 2014

Homework Help: Algebra

Posted by Bretagne on Thursday, January 31, 2008 at 3:01pm.

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 pollutant?

Answer: $30.2 million dollars

b.What is the cost to remove 90 % of the pollutant?

Answer: $30.27 million dollars

c.What is the cost to remove 99% of the pollutant?

Answer: $30.3 million dollars

d.For what value is this equation undefined?

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.

3500 + 3x

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.

3500+3x/x

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

For 10: $253
For 100: $28
For 1000: $5.50

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.

Answer: As the number tested increases, the average cost to test the animals decreases. The average cost would not fall below $3.00. An explanation is below

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

Answer: 1250 animals need to be tested

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