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Math...PLEASE HELP!!!

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What are the connections to word problems for direct and Inverse Variations and why are they functions?

  • Math...PLEASE HELP!!! - ,

    I really don't understand your question. If there is a direct or inverse relationship between two variables, either the word problem will say so or it will be obvious from laws of physics or logic.

  • Math...PLEASE HELP!!! - ,

    it's like how are word problems related to direct or inverse variations?...like when would you use it and how would you use it in a word problem...about the function part...my guess was that whatever output you have, the input will never be the same...is that right?

  • Math...PLEASE HELP!!! - ,

    If you have one output for every input, the output is a function of the input.

    Direct variation means that the absolute value of the output goes up with the input.
    For example with a spring, the further ou push it, the harder it pushes back.
    F = -k x
    force varies directly with distance x
    or
    Potential energy U increases with square of distance
    U = (1/2) k x^2
    Potential energy again varies directly with distance x

    Inverse variation means that the absolute value of output goes down as
    the input goes up.
    For example with gravity the Force on mass m dues to mass M a distance D away is
    F = G m M/D^2
    so the force varies inversely with distance and is proportional to 1/distance squared.

  • Math...PLEASE HELP!!! - ,

    however, how is it related to word problems???

  • Math...PLEASE HELP!!! - ,

    Make one up with a spring and make one up with gravity.

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