Question

When x = 3, y = 16 and when x = 6, y = 8. Which inverse variation equation can be used to model this function

Answer 1

the answer is

48 over x

Answer 2

`y=(48)/(x)`

Explanation:

When x = 3, y = 16

When x = 6, y = 8

We need to model the inverse variation.

Inverse Variation : When one value increase another value decrease. But product of both always constant.

`y=(k)/(x)`

when x=3, y=16

`16=(k)/(3)`

k=48

When x=6, y=8

`8=(k)/(6)`

k=48

Model of the inverse variation:

`y=(48)/(x)`

Hence, The model of inverse variation is
`y=(48)/(x)`