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Suppose that in order to remove x% of the pollution from the oil spill, it costs C(x) =...

Question:

Suppose that in order to remove {eq}x% {/eq} of the pollution from the oil spill, it costs {eq}C(x) = \frac{15x}{100-x} {/eq} thousands of dollars.

a. How much does it cost to remove 25% of the pollution?

b. How much does it cost to remove 50% of the pollution?

Rational Functions

When we have a variable in the denominator of a function, then we need to be careful in that we cannot have a denominator equal to zero. Thus, the domain of such a function is restricted in a way that x cannot cause this to happen.

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a. Since x represents the amount of pollution that we wish to remove, we can evaluate our function at 25 to calculate the costs of removing 25% of the...

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