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?

  1. It is multiplied by 4 
  2. It is multiplied by 16
  3. It is multiplied by 1 fourth
  4. It is multiplied by 1 over 16 

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: It is multiplied by 1 over 16


    We have to find the value of y  when y varies inversely to the square of x.
    We have, y = straight k over straight x squared
    If x becomes 4x, then:
    y = straight k over left parenthesis 4 straight x right parenthesis squared = fraction numerator straight k over denominator left parenthesis 16 space cross times space 2 right parenthesis end fraction
    So, y is multiplied by 1 over 16.
    Hence, the correct option is D.

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

    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.