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Math Help - Word problem question

  1. #1
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    Wink Please Help on a Simple word problem

    Will someone check my equations for number 1 and 2 and help me figure out number 3?

    Thanks!
    A recording company invests $18,972 for the setup cost for producing a master tape of a band and it costs $1.90 to make each copy of the master tape. Each tape is sold for $9.10.


    1. Write an equation to express the total cost of producing t tapes as a function of C(t) = cost.

    I got: C(t) = 9.10t - 1.90t- 18,972


    2. Write a nequation to express the revenue in selling t tapes as a function of R(t) = revenue.

    R(t) = 9.10t


    3. Find the coordinates of the point of intersection algebraically.

    I have no clue
    Last edited by NathanielZhu; September 6th 2009 at 07:17 AM.
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  2. #2
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    Quote Originally Posted by NathanielZhu View Post
    A recording company invests $18,972 for the setup cost for producing a master tape of a band and it costs $1.90 to make each copy of the master tape. Each tape is sold for $9.10.


    1. Write an equation to express the total cost of producing t tapes as a function of C(t) = cost.

    I got: C(t) = 9.10t - 1.90t- 18,972


    C(t) = 1.90t + 18,972

    2. Write a nequation to express the revenue in selling t tapes as a function of R(t) = revenue.

    R(t) = 9.10t
    ... ok

    3. Find the coordinates of the point of intersection algebraically.

    I have no clue

    set revenue = cost ...

    9.10t = 1.90t + 18972


    solve for t, then determine either the cost or revenue (they will be the same value) for that value of t.
    ...
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  3. #3
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    Thanks so much!


    It makes sense now!

    I have the logic of a dolphin.


    Thank you again.

    + rep
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