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22 December, 11:43

26,) If y varies inversely as x, and y = 5 as x = 6, find y for the x-value of 10.

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Answers (2)
  1. 22 December, 11:52
    0
    3

    Step-by-step explanation:

    the initial statement is

    y ∝ 1 / x

    to convert to an equation multiply by k the constant

    of variation

    y = k * 1 / x = k / x

    to find k use the given condition

    y = 5 when x = 6

    y = k / x ⇒ k = y x = 5 * 6 = 30

    y = 30 / x

    when

    x = 10

    then

    y = 30 / 10 = 3
  2. 22 December, 12:10
    0
    Answer: y = 3

    Step-by-step explanation:

    In inverse variation, as one variable increases, the other variable decreases and as one variable decreases, the other increases.

    We would introduce a constant of proportionality, k. Therefore,

    y = k/x

    When y = 5, x = 6

    Therefore,

    5 = k/6

    Cross multiplying by 6, it becomes

    k = 6 * 5 = 30

    The expression becomes

    y = 30/x

    Therefore, when x is 10,

    y = 30/10

    y = 3
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