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

Hint:

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.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.