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 over 3 1 over 2
The relation in the table represents inverse variation. This can be seen because as x increases, y decreases.
To represent this inverse variation with an equation, we can use the formula for inverse variation: xy = k, where k is a constant. To find the value of k, we can use any pair of values from the table. Let's use x = 5 and y = 2:
5 * 2 = k
k = 10
So, the equation representing the relation is xy = 10.