e 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 modelled by the function C(t)= 40t/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 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?
e 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 modelled by the function C(t)= 40t/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 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?
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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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 modelled by the function C(t)= 40t/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 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?
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