Bronze is an alloy, or mixture, of copper and tin. The

Chapter , Problem 11.4.32

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Bronze is an alloy, or mixture, of copper and tin. The alloy initially contains 3 kg copper and 9 kg tin. You add kg of copper to this 12 kg of alloy. The concentration of copper in the alloy is a function of : () = Concentration of copper = Total amount of copper Total amount of alloy . (a) Find a formula for in terms of , the amount of copper added. (b) Evaluate the following expressions and explain their significance for the alloy: (i) ( 1 2 ) (ii) (0) (iii) (1) (iv) 1( 1 2 ) (v) 1(0) (c) Graph () for 5 5, 0.25 0.5. Interpret the intercepts in the context of the alloy. (d) Graph () for 3 100, 0 1. Describe the appearance of your graph for large - values. Does the appearance agree with what you expect to happen when large amounts of copper are added to the alloy?

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