(2) A study indicates that spending money on pollution control is effective up to a point buteventually becomes wasteful. Suppose it is known that when x million dollars is spent on100/x0.03x +9controlling pollution, the percentage of pollution removed is given by P(x)=(1) At what rate is the percentage of pollution removal P(x) changing when 16 milliondollars is spent? Is the percentage increasing or decreasing at this level ofexpenditure?(ii) For what values of x is P(x) increasing?(iii) For what values of x is P(x) decreasing?

Answered: Image /qna-images/answer/8856f0ce-90c4-407d-b8b7-ae94a380de09.jpg

(2) A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on 100-/ 0.03x +9 controlling pollution, the percentage of pollution removed is given by P(x) = (i) At what rate is the percentage of pollution removal P(x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure? (ii) For what values of x is P(x) increasing? (iii) For what values of x is P(x) decreasing?

(2) A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on 100-/ 0.03x +9 controlling pollution, the percentage of pollution removed is given by P(x) = (i) At what rate is the percentage of pollution removal P(x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure? (ii) For what values of x is P(x) increasing? (iii) For what values of x is P(x) decreasing?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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