Pre-calculus

C=80,000p/(100-p)
A)what happens of the company tries to remove 100 percent of the pollutants? Will it work or will it cost too much?
B)draw a diagram to show what the consequences of the last question would be. Label the verticals asymptote(s) and analyze their impact on the company's expense.

I know that trying to remove 100% will cost too much but I don't know how to show that in a graph, please help! And thanks in advance!

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  1. your equation "falls apart" when p = 100
    because you would be dividing by zero
    So mathematically, the cost would be infinitely large
    (that is, it is not possible)

    look at this graph and see what happens at p = 100
    http://www.wolframalpha.com/input/?i=plot+C%3D80%2C000p%2F%28100-p%29+%2C+0+%3C+p+%3C+110

    at p = 100 you would have a vertical asymptote
    you can get as close to p = 100 as you want and still have an answer. But the closer you get the larger the value of C

    e.g. let p = 99
    C = 80000(99)/(100-99)
    = $79,200,000

    let p = 99.9
    C = 800000(99.9)/.1
    = $ 799,200,000

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