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Math Help - Need quick confirmation about formula

  1. #1
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    Question Need quick confirmation about formula

    A chemist is studying the properties of a bronze alloy (mixture) of copper and tin. She begins with 2kg of an alloy that is one-half tin. Keeping the amount of copper constant, she adds small amounts of tin to the alloy. Letting x be the total amount of tin added,
    C(x) = Concentration of tin = Total amount of tin/Total amount of alloy

    a) Find a formula for C(x)


    Is the answer for a); C(x) = x/(2 + x) or is it something different? Please correct me if I am wrong. Thank you.
    Last edited by florx; May 3rd 2010 at 09:23 PM.
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  2. #2
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    Quote Originally Posted by florx View Post
    A chemist is studying the properties of a bronze alloy (mixture) of copper and tin. She begins with 2kg of an alloy that is one-half tin. Keeping the amount of copper constant, she adds small amounts of tin to the alloy. Letting x be the total amount of tin added,
    C(x) = Concentration of tin = Total amount of tin/Total amount of alloy

    a) Find a formula for C(x)


    Is the answer for a); C(x) = x/(2 + x) or is it something different? Please correct me if I am wrong. Thank you.
    1+x on the denominator because the alloy already contains 1kg of tin and 1 kg of copper
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  3. #3
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    Wait shouldn't it be 2+x in the denominator because they said C(x) = Concentration of tin = Total amount of tin/Total amount of alloy?
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    Quote Originally Posted by florx View Post
    Wait shouldn't it be 2+x in the denominator because they said C(x) = Concentration of tin = Total amount of tin/Total amount of alloy?
    The 2 kg she begins with includes 1kg tin already So the "total amount of alloy" is only 1kg more than the "total amount of tin". The equation has the domain x >=1.

    Actually just reread the question. The question said "let x be the amount of tin added. So formula should actually be (x+1)/(x+2) where x>=0
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    Thank you for your help.
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