Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by C(p) = 7400p 100 − p (a) Is C(p) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.) p = (b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.) (c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.)
Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by C(p) = 7400p 100 − p (a) Is C(p) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.) p = (b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.) (c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by
C(p) =
7400p |
100 − p |
(a) Is C(p) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.)
p =
(b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.)
(c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.)
(d) What happens to the cost as the percent of pollution removed approaches 100%?
p =
(b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.)
(c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.)
(d) What happens to the cost as the percent of pollution removed approaches 100%?
The cost increases (bounded by 7400) as p increases.The cost decreases (bounded by 0) as p increases. The cost decreases without bound as p increases.The cost increases without bound as p increases.The cost remains constant as p increases.
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