Cost-Benefit Model Suppose a cost-benefit model is given by 6.7x 100 – x' where y is the cost in thousands of dollars of removing x per- cent of a given pollutant. (a) Find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%: 95%; 98%; 99%. (b) Is it possible, according to this function, to remove all the pollutant? (c) Graph the function.

Cost-Benefit Model Suppose a cost-benefit model is given by 6.7x 100 – x' where y is the cost in thousands of dollars of removing x per- cent of a given pollutant. (a) Find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%: 95%; 98%; 99%. (b) Is it possible, according to this function, to remove all the pollutant? (c) Graph the function.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 27E

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Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R=L/k. For this exercise and the next, we suppose that at time t=0, the forest floor is clear of litter. a. If D is the difference between the limiting value and A, so that D=RA, then D is an exponential function of time. Find the initial value of D in terms of R. b. The yearly decay factor for D is ek. Find a formula for D in term of R and k. Reminder:(ab)c=abc. c. Explain why A=RRekt.

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