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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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