Mathematics

Grade10

Easy

Question

# Suppose y varies inversely as the square of x. If x is multiplied by 4 , which of the following is true for the value of y?

- It is multiplied by 4
- It is multiplied by 16
- It is multiplied by
- It is multiplied by

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: It is multiplied by

### We have to find the value of y when y varies inversely to the square of x.

We have, y =

If x becomes 4x, then:

y = =

So, y is multiplied by .

Hence, the correct option is D.

Instead of taking y= k/x², we could also have taken yx² = k, where k is a constant.