To create a saline solution, salt water with aconcentration of 40 g/L is added at a rate of500 L/min to a tank of water that initiallycontained 8000 L of pure water. Theresulting concentration of the solution in thetank can be modeled by the function C(t) =40t 160+t , where C is the concentration, in%3Dgrams per liter, and t is the time, in minutes.a) Inconcentration will be 15 g/L?b) Is there an upper limit to the concentrationin the tank? Explain.how manyminutes the salinec) What restrictions must be placed on thedomain of C if the tank has a maximumcapacity of 150 000 L?

Here initial volume of pure water is given 8000l by considering that concentration should be…

To create a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500 L/min to a tank of water that initially contained 8000 L of pure water. The resulting concentration of the solution in the tank can be modeled by the function C(t) = 401 160+t , where C is the concentration, in grams per liter, and t is the time, in minutes. a) In how many minutes the saline concentration will be 15 g/L? b) Is there an upper limit to the concentration in the tank? Explain. c) What restrictions must be placed on the domain of C if the tank has a maximum capacity of 150 000 L?

To create a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500 L/min to a tank of water that initially contained 8000 L of pure water. The resulting concentration of the solution in the tank can be modeled by the function C(t) = 401 160+t , where C is the concentration, in grams per liter, and t is the time, in minutes. a) In how many minutes the saline concentration will be 15 g/L? b) Is there an upper limit to the concentration in the tank? Explain. c) What restrictions must be placed on the domain of C if the tank has a maximum capacity of 150 000 L?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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