Question

a container starts with 8 milliliters of water in it. diego is dropping cubes into the container one at time. he records the volume in the container after each cube is dropped in. plot the four points that represent the volumes in the container after 0, 1, 2, and 3 cubes are dropped in. number of cubes, x volume in the container (milliliters), v 0 8 1 11 2 14 3 17

Explanation:

Step1: Identify the coordinates

The number of cubes \(x\) is the \(x -\)coordinate and the volume \(V\) is the \(y -\)coordinate.
For \(x = 0\), \(y=8\), so the point is \((0,8)\).
For \(x = 1\), \(y = 11\), so the point is \((1,11)\).
For \(x = 2\), \(y=14\), so the point is \((2,14)\).
For \(x = 3\), \(y = 17\), so the point is \((3,17)\).

Step2: Plot the points on the graph

On the given coordinate - plane (where the \(x -\)axis represents the number of cubes and the \(y -\)axis represents the volume in milliliters):

• Locate \(x = 0\) on the \(x -\)axis and \(y = 8\) on the \(y -\)axis, and mark the point \((0,8)\).
• Locate \(x = 1\) on the \(x -\)axis and \(y = 11\) on the \(y -\)axis, and mark the point \((1,11)\).
• Locate \(x = 2\) on the \(x -\)axis and \(y = 14\) on the \(y -\)axis, and mark the point \((2,14)\).
• Locate \(x = 3\) on the \(x -\)axis and \(y = 17\) on the \(y -\)axis, and mark the point \((3,17)\).

Answer:

Plot the points \((0,8)\), \((1,11)\), \((2,14)\), and \((3,17)\) on the graph.