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29 September, 22:58

1) If y=4 when x = - 2, find x when y = - 5

2) If y=20 when y = - 5, find x when y = - 1

Use direction variation formula

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  1. 30 September, 00:58
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    1) x = 2.5 when y = - 5

    2) x = 0.25 when y = - 1

    Solution:

    Given that, we have to use direction variation formula.

    Now, we know that, direct variation formula is y = kx, where k is proportionality constant.

    1) If y=4 when x = - 2, find x when y = - 5

    Put y = 4 and x = - 2 in y = kx

    4 = k (-2)

    k = - 2

    Then, when y = - 5

    -5 = ( - 2) x

    x = 5/2

    x = 2.5

    2) If y=20 when x = - 5, find x when y = - 1

    Put y = 20 and x = - 5 in y = kx

    20 = k (-5)

    k = - 4

    Then, when y = - 1

    -1 = ( - 4) x

    x = 1/4

    x = 0.25

    Hence, 1) x = 2.5 when y = - 5 and 2) x = 0.25 when y = - 1
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