Solve for x in a Percentage Equation
Date: 2/5/96 at 17:56:20 From: Anonymous Subject: word problem Express as a function of x. i) The volume of water that must be added to 5L of antifreeze to make a solution that is x percent antifreeze. ii) The volume of antifreeze that must be added to 5L of water to make a solution that is x percent antifreeze What are the domain and range of each function? Graph the function.
Date: 6/18/96 at 13:31:1 From: Doctor Robert Subject: Re: word problem i) The percent antifreeze of a solution is the amount of antifreeze divided by the total volume of the solution. Let W be the volume of water added to 5 liters of antifreeze(assumed to be 100 percent antifreeze). Then the fraction of antifreeze is x = 5/(5+W) where the range is W>=0,and the domain is 0<x<1. ii) x = A/(A+5) where A is the amount of pure antifreeze added to 5 liters of water. The domain of this function is 0 < = x < 1. The range is A>= 0 -Doctor Robert, The Math Forum
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