Mathematics
Grade10
Easy

Question

If x and y vary inversely and x = 3 when y = 2 over 3 , what is the value of y when x = -1 ?

  1. -2
  2. 1 third
  3. -1 half
  4. -1

hintHint:

Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

The correct answer is: -2


    Here, we have to find the value of y given that x and y are in inverse variation.
    We have, y = k/x
    =>2 over 3 = straight k over 3
    =>k = 2.
    Now, y = straight k over straight x = 2 over straight x = fraction numerator 2 over denominator left parenthesis negative 1 right parenthesis end fraction = -2
    Hence, the value of y is -2.
    The correct option is B.

    In inverse variation, xy = k for some constant k.

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