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7 August, 06:41

Given that y varies directly as x and inversely as 2m-1 and that y = 5 when x=7and m=4, calculate of variation k

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Answers (1)
  1. 7 August, 06:50
    0
    Inverse variation can be represented as:

    y

    =

    k

    x

    k

    =

    y

    .

    x

    where

    k

    is the constant

    x

    =

    7

    and

    y

    =

    10

    so,

    k

    =

    7

    *

    10

    =

    70

    Now, we have the value of

    k

    and

    x

    =

    10

    , substituting these in the variation to find

    y

    k

    =

    y

    .

    x

    y

    =

    k

    x

    y

    =

    70

    10

    =

    7

    on observing the values

    when

    x

    =

    7

    ,

    y

    =

    10

    , and

    when

    x

    =

    10

    ,

    y

    =

    3

    as the value of

    x

    decreases

    y

    increases and vice verse as they vary inversely.
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