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6 January, 15:13

Two quantities, x and y, are directly proportional. If x is halved, what happens to y?

A. It is doubled.

B. It is squared.

C. It is multiplied by 12.

D. It depends on the starting value of x.

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Answers (1)
  1. 6 January, 17:37
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    C. It is multiplied by 1/2

    Step-by-step explanation:

    If x and y are directly proportional, that means that every change in x will result in same change in y. The change should be multiplicative/proportional, not additional. You can put it in this equation

    y = kx

    where k is a constant.

    If the x is halved (x2 = 0.5x1), the y will change into

    y2/y1 = kx2 / k1x1 = 0.5x1 / x1 = 0.5

    The value of y will be half of its value before. In another word, it will be multiplied by 1/2
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