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

Answer:

$y=\dfrac{48}{x}$

Step-by-step 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.  

$y=\dfrac{k}{x}$

when x=3, y=16

$16=\dfrac{k}{3}$

k=48

When x=6, y=8

$8=\dfrac{k}{6}$

k=48

Model of the inverse variation:

$y=\dfrac{48}{x}$

Hence, The model of inverse variation is $y=\dfrac{48}{x}$