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20 February, 14:40

Suppose x varies directly with y and x=24 when y = -96. what is the constant of variation and what is the value of x when y=-164?

A. cov = - 4, x=656

B. cov = - 4, x=41

C. cov = - 1/4, x=41

D. cov = - 1/4, x=-41

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Answers (2)
  1. 20 February, 15:19
    0
    Choice B is correct.

    Step-by-step explanation:

    Firstly, we have to find constant of variation.

    y = kx eq (1)

    Given y = - 96 and x = 24

    put above values in eq (1)

    -96=k (24)

    dividing above equation by 24

    -96/24=24k/24

    -4=k

    so eq (1) becomes y=-4x

    Secondly, we have to find value of x when y=-164

    -164=-4x

    dividing by - 4 by above equation.

    -164 / (-4) = -4x / (-4)

    41=x

    so, k=-4 and x=41.
  2. 20 February, 16:07
    0
    B

    Step-by-step explanation:

    30. You want to solve for k and use it with a different y-value.

    ... y = kx

    ... - 96 = k·24

    ... - 96/24 = k = - 4

    For y = - 164, you have

    ... - 164 = - 4·x

    ... - 164/-4 = x = 41

    The coefficient of variation is - 4, x is 41.
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