Impurities in water are frequently removed using filters. Suppose that a 1-inch filter allows 10% of the

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Impurities in water are frequently removed using filters. Suppose that a 1-inch filter allows 10% of the impurities to pass through it. The other 90% is trapped in the filter. 

(a) Find a formula in the form f(x) = 100ax that calculates the percentage of impurities passing through x inches of this type of filter. 

(b) Use f(x) to estimate the percentage of impurities passing through 2.3 inches of the filter.

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