An alcohol solution consists of 5 gallons of pure water

Chapter , Problem 11.4.33

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An alcohol solution consists of 5 gallons of pure water and gallons of alcohol, > 0. Let () be the ratio of the volume of alcohol to the total volume of liquid. [Note that () is the concentration of the alcohol in the solution.] (a) Find a possible formula for (). (b) Evaluate and interpret (7) in the context of the mixture. (c) What is the zero of ? Interpret your result in the context of the mixture. (d) Find an equation for the horizontal asymptote of . Explain its significance in the context of the mixture.

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