CSU - Dominguez hills
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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 moC ed by 000 200 2x a. What is the cost to remove 75% of the pollutant? C 6,000 =120 million 200 2(75) b. What is the cost to remove 90% of the pollutant? 6,000 C 200 2(90) =300 million c. What is the cost to remove 99% of the pollutant? 6,000 C =3000 million 200 2(99) d. For what value is this equation undefined? When 100% is used the equation is undefined. e. Do the answers to sections a. through d. match your expectations? Explain why or why not. The first few answers were what I expected, however the last answer was very unexpected. I figured the answer to be higher because 100% was going to be cleaned and I was not expecting it to be undefined because we cannot divide by 0. Busch Enteratinment Corporation. (N.D.). Flamingos. Retrieved from http://www.seaworld.org/animalinfo/infobooks/flamingo/physicalcharacteristics.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. MAT/117 a. Write an expression that gives the total cost to test x animals. y=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. y = 2500/x+3 y=average cost c. Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals. For 10 animals= $253 per animal For 100 animals= $28 per animal For 1000 animals= $5.50 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 $3.00? 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 amount per animal drops. That however, does not make the cost fall below $3.00 ever. Since the equation states x+3 the lowest average cost will always be $3.00 or higher. e. How many animals should be tested for the average cost to be $5.00 per animal? There needs to be 1250 animals tested for the average cost to be $5.00 an animal. 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. p=k*a b. A biologist counted 12 white tail deer in a 100acre parcel of land in a nature preserve. Find the constant of variation k. 12=k*100 the constant of variation is k=0.12 c. If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived at your answer. p=k*a insert variation of k p=0.12*a insert acreage of 2500 p=0.12*2500 solve p=300 There are 300 deer on the nature preserve. MAT/117 TOTAL = 40 40/40 POINTS MAT/117
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