Question

Suppose y varies inversely with x. Write an equation for the inverse variation. y = 10 when x = 2.4

Answer 1

The equation is equal to

`y*x=24` or
`y=24/x`

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
`y*x=k` or
`y=k/x`

In this problem we have

For x=2.4, y=10

Find the constant of proportionality k

`y*x=k`

substitute the given values

`2.4*10=k`

`k=24`

therefore

The equation is equal to

`y*x=24` or
`y=24/x`