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

Question

x 2 5 15 20
y 20 15 2 2

Answer 1

The relationship between the variables in the table is an inverse variation.

To model this relationship, we can use the equation y = k/x, where k is a constant.

Using the first row of the table (x=2, y=20):
20 = k/2
20*2 = k
k = 40

Therefore, the function to model the relationship is y = 40/x.