Question

when the data points on the graph show a straight line we can assume the relationship between the variables is _ because _. mass vs. volume of water slope = \\(\frac{rise}{run}=\frac{5 g}{5 cm^{3}} = 1 g/cm^{3}\\) direct // the product of the two variables is a constant inverse // the ratio of the two variables is constant inverse // the product of the two variables is a constant direct // the ratio of the two variables is constant

Explanation:

In a direct - variation relationship, the graph of the two variables is a straight line passing through the origin, and the ratio of the two variables (y/x) is constant. Here, for the mass - volume relationship of water, the slope (mass/volume) is constant ($1\ g/cm^{3}$), which is characteristic of a direct variation. In inverse variation, the product of the two variables is constant and the graph is a hyperbola.

Answer:

direct // the ratio of the two variables is constant