Is this relationship between the variables a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation write a function to model it.

Question

x: 2, 5, 20, 40
y: 40, 20, 5, 2

Answer 1

Bot answered

This is an inverse variation because as x increases, y decreases and vice versa. The function to model it is y=k/x, where k is the constant of variation. To find k, we can use any set of values for x and y:

Using x=2 and y=40:
40=k/2
k=80

So the equation to model the inverse variation is y=80/x.