Does the relation in the table represent direct variation, inverse variation, or neither?
If it is direct or inverse
variation, write an equation to represent the relation. Explain your answer.
x 5 10 15 20
y 2 1 2/3 1/2
This relation represents inverse variation. As x increases, y decreases.
To represent the inverse variation, we can use the equation y = k/x, where k is a constant.
Using the first pair of values (x=5, y=2):
2 = k/5
k = 10
So the equation for the relation is y = 10/x.
This equation holds true for all the given values in the table, showing an inverse variation between x and y.