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# mat 117 appendix D (brand new)

CSU - Dominguez hills

GPA 3.0

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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 6000 200 2x 1 The cost in millions of dollars to remove x of pollution in a lake modeled by a What is the cost to remove 75 of the pollutant Put x 75 we get cost of removing 75 pollution 6000 2200 275 6000 C2200 150 6000 C 50 C 120 million b What is the cost to remove 90 of the pollutant Put x 90 we get cost of removing 90 pollution 6000 200 290 6000 C 200 180 MAT117 6000 C 20 C 2300 million Cost of removing 90 pollutant 300 million dollars c What is the cost to remove 99 of the pollutant Put x 99 we get cost of removing 99 pollution 6000 200 299 6000 C200 198 6000 C 2 C 3000 million dollars Cost of removing 99 pollutant 3000 million dollars d For what value is this equation undefined Equation will be undefined when denominator becomes zero 200 2x0 2002x i 2 2 X2100 value is undefined when x 100 e Do the answers to sections a through d match your expectations Explain why or why not Yes my expectation are matched first as the we try to remove more and more pollutant then cost of cleaning increases and second thing as we move from lower to higher MAT117 cost of cleaning increases sharply that means rate of increase of cost is higher then rate of increase in cleaning Cost of 100 cleaning is infinite that means it is impossible to remove 100 pollutant 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 3 x Cost is E dollars 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 2 2500 3 x x cost is E dollars c Find the average cost per animal for 10 animals 100 animals and 1000 animals cost when there are 10 animals 250030 C 10 253 per animal X 100 animals 2500300 C 100 28 cost per animal X 1000 animals 25003000 C 1000 550 average cost per animal 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 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 3 test the animals decreases The average cost will never fall below 3 because MAT117 25003x C X C2 2500 3x X X C2 2500 3 X Therefore cost is Z of 3 plus 2500 which could not be less than 3 e How many animals should be tested for the average cost to be 500 per animal 525003x X 5 2500 3x X X 5 2500 3 X 532500 X 2x2500 MAT117 2500 X 2 x1250 Therefore for 1250 animals average cost of testing will be 5 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 2 Deer A Acres D kA A biologist counted 12 whitetail deer in a 100acre parcel of land in a nature preserve Find the constant of variation k 12 k 100 k12 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 D122500 D2300 Therefore total number of deer 300 we have used the value of k found E part b L plugged the value of AE the equationE part a MAT117

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