Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table. x 1 3 4 7 y 5 15 20 35
The data represents a direct variation because as x increases, y also increases.
To write an equation to model the data, we can first find the constant of variation. The constant of variation is the ratio between y and x.
From the table, we can see that when x = 1, y = 5. Thus, the constant of variation is y/x = 5/1 = 5.
Therefore, the equation to model the data is y = 5x.