Question

Which equation represents an inverse variation? y = 2x y = y = y = –5x

Answer 1

Answer:

No , equation represented the relation of inverse variation .

Step-by-step explanation:

Definition of inverse variation

This is the relationship between two variables in which the product is a constant.

In this relation when one variables increase than the other variable decrease .

Example =  x is inversely proportional to y . the equation is of the form $x = \frac{k}{y}$

(where k is the constant of proportionality)

As all the equation given in the question are not in the form of  $x = \frac{k}{y}$ .

Therefore no , equation shows the inverse variation .

Answer 2

"To Prove:

Which of the above given relations exhibit inverse variation.

Solution:  

Concept: “Direction variation is a relationship between 2 variables in which one of the variable is a constant multiple, for example y = 2x “

“Inverse variation is a relationship between 2 variables in which if one of the variables increases then the other variable decreases in a same proportion that their product value remains unchanged, for example ,y = (k/x) where ‘k’ is a constant ”

Answer: From the above concept it is clear that the relation  y = (4/x) exhibits inverse variation. "