Question

Which of the following is a property of inverse variation?. A.. Two variables exhibit inverse variation if they have a constant ratio.. B.. Two variables exhibit inverse variation if their products always equal the same nonzero constant.. C.. Two variables exhibit inverse variation if, when one variable increases, the other variable increases.. D.. Two variables exhibit inverse variation if, when one variable decreases, the other variable decreases..

Answer 1

The property which represents a inverse variation is:

Option: B

B.. Two variables exhibit inverse variation if their products always equal the same nonzero constant.

Explanation:

Two variables i.e. variable x and variable y are said to be in inverse variation if there exist a non-zero constant k such that:

`xy=k`

Also, with the increase of one variable the other variable decreases i.e. they vary inversely.

Answer 2

The correct answer among the choices given is option B. Two variables exhibit inverse variation if their products always equal the same nonzero constant. In an inverse variation, the values of the two variables change in an opposite manner - as one value increases, the other decreases.