Bronze is an alloy or mixture of the metals copper and tin. The properties of br
ID: 3098106 • Letter: B
Question
Bronze is an alloy or mixture of the metals copper and tin. The properties of bronze depend on the percentage of copper in the mix. A chemist decides to study the properties of a given alloy of bronze as the proportion of copper is varied. She starts with 9 kg of bronze that contain 3kg of copper and 6 kg of tin and either adds or removes copper. Let f(x) be the percentage of copper in the mix if x kg of copper are added (x > 0) or removed (x < 0).
(a) State the domain and range of f. What does your answer mean in the context of bronze?
(b) Find a formula in terms of x for f(x).
(c) If the formula you found in part (b) was not intended to represent the percentage of copper in an alloy of bronze, but instead simply defined an abstract mathematical function, what would be the domain and range of this function?
Explanation / Answer
x>= -3 f(x)=(x+3)/(x+3+6)=(x+3)/(x+9) domain x>= -3 range [0,1] or 0Related Questions
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