Determine which function has the greater rate of change in questions 1−3

x y
-------
-1 0
0 1
1 2
2 3
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The rates of change are equal.
The graph has a greater rate of change.***
The table has a greater rate of change.
none of the above

I need help! this is the 8th grade comparing functions quiz

To determine which function has the greater rate of change in questions 1-3, we can calculate the rate of change for each function and compare them.

First, let's find the rate of change for the graph. Looking at the x-values and the corresponding y-values, we can see that as x increases by 1 (for example, from -1 to 0, or from 0 to 1), the y-value increases by 1 (from 0 to 1, or from 1 to 2). So, the rate of change for this function is 1.

Next, let's find the rate of change for the table. We can calculate the difference between the y-values for each pair of consecutive x-values. As we can see, the difference is always 1, indicating a constant rate of change.

The rate of change for both the graph and the table is the same, which is 1. Therefore, the correct answer is "The rates of change are equal."

Remember, to determine the rate of change, you can subtract the initial value of the dependent variable (y) from the final value and divide it by the difference in the corresponding independent variable (x). In this case, the rate of change is the same for both the graph and the table.

well, the table has a slope of 1

No idea what the graph shows.