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 StartFraction 2 over 3 EndFraction StartFraction 1 over 2 EndFraction
The relation in the table does not represent direct or inverse variation because the ratio of y to x is not constant for all values of x and y.
Equation for the relation: y = (1/5)x
Explanation: By looking at the table, we can see that y is always 1/5 of x. This consistent ratio between x and y indicates a direct variation relationship, which is represented by the equation y = kx, where k is the constant of variation. In this case, k = 1/5.
Therefore, the relation in the table represents direct variation.