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Math Help - Hot dog vender word problem.

  1. #1
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    Hot dog vender word problem.

    Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by

    x(t) = −4t2 + 20t + 76,


    where t is the number of hours since 10 AM, 0 ≤ t ≤ 4.



    (a) Find an expression for the revenue per hour R as a function of x.
    R(x) = 1



    (b) Find and simplify (R x)(t).

    What does this represent?


    (c) What is the revenue per hour at noon?



    I am just lost on this! Maybe my brain isn't processing it or something lol, but I have no clue.3
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  2. #2
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    Re: Hot dog vender word problem.

    Quote Originally Posted by xxStrikeback View Post
    Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by

    x(t) = −4t2 + 20t + 76,


    where t is the number of hours since 10 AM, 0 ≤ t ≤ 4.



    (a) Find an expression for the revenue per hour R as a function of x.
    R(x) = 1



    (b) Find and simplify (R x)(t).

    What does this represent?


    (c) What is the revenue per hour at noon?



    I am just lost on this! Maybe my brain isn't processing it or something lol, but I have no clue.3
    revenue per hour = (number of dogs sold per hour)(price)

    R(x) = x(t) \cdot 2
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  3. #3
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    Re: Hot dog vender word problem.

    OMG, lol, I can't believe it was just that. I was thinking that all along but it just seemed like it couldn't be right because the questions before and after this were all very complicated.
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