SOLUTION FOR MAT117appendix_d_

SOLUTION FOR MAT117appendix_d_ - Axia College Material...

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Axia College Material Appendix D The Environment 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. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by x C 2 200 000 , 6 - = a. What is the cost to remove 75% of the pollutant? Put x = 75% in the given equation 120 50 6000 150 200 6000 75 2 200 6000 = = - = × - = C Therefore, cost to remove 75% of the pollutant is 120 million dollars. b. What is the cost to remove 90% of the pollutant? Put x = 90% in the given equation 300 20 6000 180 200 6000 90 2 200 6000 = = - = × - = C Therefore, cost to remove 90% of the pollutant is 300 million dollars. c. What is the cost to remove 99% of the pollutant? Put x = 99% in the given equation 3000 2 6000 198 200 6000 99 2 200 6000 = = - = × - = C Therefore, cost to remove 99% of the pollutant is 3000 million dollars. MAT/117
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For what value is this equation undefined? The equation will be undefined at x = 100% as denominator of the rational function becomes zero at x = 100%. e. Do the answers to sections a. through d. match your expectations? Explain why or why not. I was expecting the same. The cost to remove more percent of pollutants should be more. Busch Enteratinment Corporation. (N.D.). Flamingos. Retrieved from http://www.seaworld.org/animal-info/info-books/flamingo/physical-characteristics.htm 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. Let C be the total cost to test x animals The expression will be C = 2500 + 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. Average cost per animal = x x x x C 3 2500 ) ( + = c. Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals. Average cost per animal for 10 animals = 253 $ 10 2530 10 30 2500 10 10 3 2500 = = + = × + Average cost per animal for 100 animals = 28 $ 100 2800 100 300 2500 100 100 3 2500 = = + = × + Average cost per animal for 100 animals = 5 . 5 $ 1050 5500 1000 3000 2500 1000 1000 3 2500 = = + = × + 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. MAT/117
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This note was uploaded on 06/25/2010 for the course MAT117 MAT117 taught by Professor A.b. during the Spring '10 term at University of Phoenix.

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SOLUTION FOR MAT117appendix_d_ - Axia College Material...

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