The cost \(C,\) in dollars, to remove \(p\) percent of a certain pollutant from a pond is estimated by using the formula

[M7MBA]

The cost \(C,\) in dollars, to remove \(p\) percent of a certain pollutant from a pond is estimated by using the formula \(C = \dfrac{100,000p}{100 - p}.\) According to this estimate, how much more would it cost to remove \(90\) percent of the pollutant from the pond than it would cost to remove \(80\) percent of the pollutant?

(A) \(\$500,000\)
(B) \(\$100,000\)
(C) \(\$50,000\)
(D) \(\$10,000\)
(E) \(\$5,000\)

Answer: A

Source: Official Guide