# appendix D- mosquitoes mat 117

Feb 3rd, 2012
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appendix D- mosquitoes mat 117 The cost, in millions of dollars, to remove x % of pollution in a lake modeled by What is the cost to remove 50% of the pollutant? In order to find out the cost we just replace x=50 in the model equation. So: C=5000/(200-2×50)=5000/100=50 million dollars What is the cost to remove 75% of the pollutant? In order to find out the cost we just replace x=75 in the model equation. So: C=5000/(200-2×75)=5000/50=100 million dollars What is the cost to remove 99% of the pollutant? In order to find out the cost we just replace x=99 in the model equation. So: C=5000/(200-2×99)=5000/2=2500 million dollars For what value is this equation undefined? The equation is undefined when the denominator equals 0. So: 200-2x=0  2x=200  x=100 In other words the cost for removing 100% of pollution in a lake is undefined.

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