Mathematics
Grade10
Easy

Question

In an inverse variation, x = 6 and y = 1 half. What is the equation that represents the inverse variation?

  1. y = 1 third x
  2. y = 3 over straight x
  3. y = -2 over straight x
  4. y = 1 fourth x

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: y = 3 over straight x


    Here, we are given that in an inverse variation, x = 6 and y = 1/2.
    We have to find the relation between x and y.
    We have, y = straight k over straight x
    => 1 half = k/6
    => k = 3.
    Equation: y = 3 over straight x.
    Hence, the correct option is B.

    We can also take the relation as xy = k instead of y = k/x, where k is a constant.

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