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23 April, 06:22

Elus

Assume that y varies inversely

with x. If y = 7 when x = - 2, find y

when x = 7.

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y = [?]

+3
Answers (1)
  1. 23 April, 08:08
    0
    Answer: When x = 7, y = - 2

    Step-by-step explanation:

    According to question,

    y ∝ 1 / x

    To remove proportionality, include a constant. Let the constant be k.

    y = k * (1 / x)

    Now, we know that y = 7 when x = - 2

    y = k * (1 / x)

    7 = k * (1 / - 2)

    k = - 14

    The equation now becomes,

    y = - 14 * (1 / x)

    Now, we need to find y when x = 7.

    y = - 14 * (1 / 7)

    y = - 2

    So, when x = 7, y = - 2.
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