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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 = rise / run = 5 g / 5 cm³ = 1 g/cm³ direct // the product of the two variables is a constant direct // the ratio of the two variables is constant inverse // the ratio of the two variables is constant inverse // the product of the two variables is a constant
In a direct - relationship, the ratio of the two variables is constant. A straight - line graph indicates a constant rate of change (slope). For the mass - volume graph of water, slope = $\frac{\text{Mass}}{\text{Volume}}$ is constant ($1\ g/cm^{3}$), which is a characteristic of a direct relationship. In an inverse relationship, the product of the two variables is constant, not the ratio.
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B. direct // the ratio of the two variables is constant