Math117 Appendix D
Math117 Appendix D
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Date Created: 11/16/15
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 C a 6000 200 2x What is the cost to remove 75 of the pollutant C 6000200275 C 6000200150 C 600050 C 120 million What is the cost to remove 90 of the pollutant C 6000200290 C 6000200180 C 600020 C 300 million What is the cost to remove 99 of the pollutant C 6000200299 C 6000200198 C 60002 C 3000 million or 3 billion For what value is this equation undefined The value is undefined When x 100 C 60002002100 C 60000 C Undefined because the denominator is a zero Do the answers to sections a d match your expectations Why or why not The answers in sections a d did not match my expectations I had no idea that it would be that expensive to remove pollution from a single lake I did not expect for such a dramatic increase in the cost from removing 75 of the pollution MAT 117 compared to 90 of the pollution compared to 99 of the pollution I also did not expect for the cost of removing 100 of the pollution to be undefined Now that I think about it it is probably impossible to remove 100 of the pollution from the lake so the cost is undefined Source Sea World httpwwwseaworldordanimalinfoinfobooksflamindophvsical characteristicshtm 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 2500 for setup costs and 300 to administer each test a Write an expression that gives the total cost to test x animals c 2500 3X 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 2500 3XX Find the average cost per animal for 10 animals 100 animals 1000 animals C 2500 3010 253 C 2500 300 100 28 C 2500 30001000 550 As the number of animals tested increases what happens to the average cost to test the animals Would the average cost ever fall below 300 If so identify a value that supports your answer If not explain how you know As the number of animals tested increases the average cost to test the animals decreases The average cost will not ever fall below 3 because C 2500 3XX C 2500X 3Xx C 2500X 3 It does not matter how many tests are administered as long as the price per test is 3 the average cost will never drop below 3 How many animals should be tested for the average cost to be 500 per animal 5 25003xx 5 2500x 3xx 5 2500x 3 532500x33 2 2500X 2X 2500 X 25002 X 1250 For the average cost to be 5 00 per animal 1250 animals should be tested MAT 117 3 To estimate animal populations biologists count the total number of animals in a small section of a habitat The total population of animals is directly proportional to the size of the habitat in acres polled a Write an equation using only one variable that could be used to solve for the constant of variation k D Deer A Acres kDA b A biologist counted the number of white tail deer in a 100 acre parcel of land in a nature preserve and found 12 deer Find the constant of variation k k 12100 k 12 White tail deer per acre 12 c If the entire nature preserve is 2500 acres then what is the total white tail deer population in the preserve Describe how you arrived at your answer D 12 2500 D 300 The entire nature preserve has a population of 300 White tail deer I arrived at this answer by multiplying the answer I received in section b for the number of deer per acre by the total acres in the nature preserve MAT 117
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