C. The table has a greater rate of change.
To determine the rate of change for each function, we can find the slope between any two points on the graph or table. For the table, we can use the formula:
slope = (change in y) / (change in x)
Using the points (0,1) and (1,2) from the table:
slope = (2-1) / (1-0) = 1
Using the points (1,2) and (2,3) from the table:
slope = (3-2) / (2-1) = 1
So the rate of change for the table is the same for both intervals, and it is equal to 1.
For the graph, we can also find the slope between any two points. Using the points (0,1) and (2,3) from the graph:
slope = (3-1) / (2-0) = 1
So the rate of change for the graph is also 1.
Therefore, the answer is that the rates of change are equal, and the correct choice is A.
Determine which function has the greater rate of change in problems 1-3. show your work.
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 greater rate of change.
D. None of the above.
1 answer
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