(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 E controlling pollution, the percentage of pollution removed is given by P(x) =: 0.03x +9 (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?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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(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 x
controlling pollution, the percentage of pollution removed is given by P(x) =:
0.03x +9
(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?
Transcribed Image Text:(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 x controlling pollution, the percentage of pollution removed is given by P(x) =: 0.03x +9 (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?
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