Question

The graph below was obtained by plotting the volume of a material versus the mass of that same material. The coordinates on the graph are (2,1), (4,2), and (6,3), where x represents the mass (g) and y represents the volume (cm3). What is the density of the material in g/cm3?

Answer 1

The density of the material is 2 g/cm³, which is consistent for all three points on the graph.

Step-by-step explanation:

The density of a material is calculated by dividing its mass by its volume. In this case, we can use the coordinates provided on the graph to find the mass and volume.

The first point on the graph is (2,1), which represents a mass of 2 grams and a volume of 1 cm³. The second point is (4,2), which corresponds to a mass of 4 grams and a volume of 2 cm³. The third point is (6,3), representing a mass of 6 grams and a volume of 3 cm³.

To find the density, we divide the mass by the volume for each point:

1. Density at point (2,1): 2 g/cm³
2. Density at point (4,2): 2 g/cm³
3. Density at point (6,3): 2 g/cm³

Since the density is consistent for all three points, we can conclude that the density of the material is 2 g/cm³.