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18 November, 19:52

Rope costs $0.42 per foot. In a relation, the input is the number of feet of rope and the output is the cost.

Is this relation a function? Why or why not?

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  1. 18 November, 20:18
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    f (x) = 0.42x; x is the input as the length of rope in feet

    ; f (x) is the output as cost

    Step-by-step explanation:

    For a relation to be a function there is a condition that in a function every input has a unique output. It means that for one input there should be only one output, two or more outputs are not allowed.

    The function f (x) = 0.42x satisfies the above condition to become a function.

    (To find the function use the following method

    Cost of total length of rope = (Cost of rope per foot) * (Length of rope in feet)

    f (x) = 0.42 * x

    f (x) = 0.42x

    )
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