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Rational Functions Project

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Ryan Nguyen

on 18 February 2013

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Transcript of Rational Functions Project

By Ryan Nguyen Rational Functions Project Removing Pollutants In summary, this utility company cannot remove 100 percent of the pollutants because they would be spending an infinite amount of money; in other words, it is impossible. The utility company is trying to remove 100 percent of the pollutants; however, this cannot be done with the given information. Here is a graph for the given equation of removing pollutants, C = 80000p / (100-p) where C is the cost (in dollars) and p is the amount (percent) of pollutants removed. Here is the same graph, but highly zoomed in to the line where p runs from 0 to 100, since the percentage only ranges from 0 to 100 in this particular problem. The other line in the last picture is disregarded for this reason. Here is a quick clip to further visualize how
p = 100 is a vertical asymptote. As you can see, the line approaches p = 100, but it will never cross it.
This is because p = 100 is a vertical asymptote. As the percentage goes up, the cost will go up as well until you get to 100 percent, which will not work. Percent of Pollutants Removed Cost (dollars) of Removal Percent of Pollutants Removed Cost (Dollars) of Removal
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