Does the relation in the table represent direct variation inverse variation or neither? If it is a direct or inverse variation, write an equation to represent the relation.
(x,y)
(5,2)
(10,1)
(15,2/3)
(20,1/2)
This relation represents inverse variation. To show this, we can see that as x doubles, y is cut in half.
The equation representing this inverse variation is:
y = k/x
To find the value of k, we can use the values given in the table:
From (5,2): 2 = k/5 -> k = 10
Therefore, the equation representing the relation is:
y = 10/x