Question

For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7?

Answer 1

xy = k
4x = 7
Divide both sides by 4
x = 7/4

Answer 2

The value of x is
`(7)/(4)`.

Explanation:

Inverse variation is defined by the equation

`xy=k`

It is given that the value of y is 4 and the value of k is 7.

Substitute
`y=4` and
`k=7`.

`x(4)=7`

Divide both sides by 4.

`(4x)/(4)=(7)/(4)`

`x=(7)/(4)`

Therefore the value of x is
`(7)/(4)`.