Determine which function has the greater rate of change in this question?

These are the points on the graph.
A. (-1,0), B(0,1) C(1,2)
This is the table
X, -1,0,1,2
Y, 0,1,2,3
A. The rates of change are equal.
B. The graph has a greater rate of change.
C. The table has a greater rate of change
D. None of the above.
Is the answer A?
Thank you

you are saying there are 3 points on the graph, but the table shows 4 points.

mmmhhh?

anyway: take the slope of all possible pair of points, what do you get ?

To determine which function has the greater rate of change, we need to calculate the rate of change for each function.

For the graph, we have the points A(-1,0), B(0,1), and C(1,2). The rate of change can be calculated by finding the difference in the y-coordinates (change in y) divided by the difference in the x-coordinates (change in x).

For points A and B, the change in y is 1 - 0 = 1 and the change in x is 0 - (-1) = 1, so the rate of change is 1/1 = 1.

For points B and C, the change in y is 2 - 1 = 1 and the change in x is 1 - 0 = 1, so the rate of change is 1/1 = 1.

So, the graph has a constant rate of change of 1.

For the table, we have the values X: -1, 0, 1, 2 and Y: 0, 1, 2, 3. Again, we can calculate the rate of change by finding the difference in the y-values divided by the difference in the x-values.

For the first pair of points (-1,0) and (0,1), the change in y is 1 - 0 = 1 and the change in x is 0 - (-1) = 1, so the rate of change is 1/1 = 1.

For the second pair of points (0,1) and (1,2), the change in y is 2 - 1 = 1 and the change in x is 1 - 0 = 1, so the rate of change is 1/1 = 1.

For the third pair of points (1,2) and (2,3), the change in y is 3 - 2 = 1 and the change in x is 2 - 1 = 1, so the rate of change is 1/1 = 1.

Again, the table has a constant rate of change of 1.

Since both the graph and the table have the same rate of change of 1, the answer is A. The rates of change are equal.