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25. Aviation When kerosene is purified to make jet fuel, pollutants are removed by passing the kerosene through a special clay filter. Suppose a filter is fitted in a pipe so that 15% of the impurities are removed for every foot that the kerosene travels. a. Write an exponential function to model the percent of impurity left after the kerosene travels x feet. b. Graph the function. c. About what percent of the impurity remains after the kerosene travels 12 feet? d. Will the impurities ever be completely removed? Explain.

25. Aviation When kerosene is purified to make jet fuel, pollutants are removed by passing the kerosene through a special clay filter. Suppose a filter is fitted in a pipe so that 15% of the impurities are removed for every foot that the kerosene travels. a. Write an exponential function to model the percent of impurity left after the kerosene travels x feet. b. Graph the function. c. About what percent of the impurity remains after the kerosene travels 12 feet? d. Will the impurities ever be completely removed? Explain.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 39E
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25. Aviation When kerosene is purified to make jet fuel, pollutants are removed by passing the kerosene through a special clay filter. Suppose a filter is fitted in a pipe so that 15% of the impurities are removed for every foot that the kerosene travels. a. Write an exponential function to model the percent of impurity left after the kerosene travels x feet. b. Graph the function. c. About what percent of the impurity remains after the kerosene travels 12 feet? d. Will the impurities ever be completely removed? Explain.
Transcribed Image Text:25. Aviation When kerosene is purified to make jet fuel, pollutants are removed by passing the kerosene through a special clay filter. Suppose a filter is fitted in a pipe so that 15% of the impurities are removed for every foot that the kerosene travels. a. Write an exponential function to model the percent of impurity left after the kerosene travels x feet. b. Graph the function. c. About what percent of the impurity remains after the kerosene travels 12 feet? d. Will the impurities ever be completely removed? Explain.
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