Question

Which of the following equations is an example of inverse variation between the variables x and y?

A. y=x/3
B. y=3/x
C. y= x+3
D. y= 3x

Answer 1

Answer: B. y=3/x

Explanation:

For any variable x and y the inverse relationship is given by :-

`y=(k)/(x)`, where k is the inverse proportionality constant.

From the given options option B is showing inverse variation between the variables x and y.

tex]y=\frac{3}{y}[/tex], where 3 is the inverse proportionality constant.

Answer 2

An inverse variation by definition is given by a function of the form:

`y = k / x`
Where,
k: is a constant that can be any real number.
x: represents the independent variable
y: represents the dependent variable
We have then that the following function is a reverse variation:

`y = 3 / x`
Answer:
B. y = 3/x