which function has the greater rate of change?
x-axix: -1 | 0 | 1 | 2 |
y-axis: 0 | 1 | 2 | 3 |
the graph has a line and 3 dots on the line. the first dot is 0, -1
the second dot is 0, 1
the third dot is 1, 2
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
I say it's either A or C
I only see one function:
f(x) is (-1,0),(0,1),(1,2),(2,3)
x and y change at the same rate. When x increases by 1, so does y.
To determine which function has the greater rate of change, let's analyze the given data points.
In this case, we have four points: (-1, 0), (0, 1), (1, 2), and (2, 3). These points suggest a linear relationship between x and y.
To find the rate of change, you calculate the difference in y-coordinates divided by the difference in x-coordinates for any two points. Let's calculate the rate of change for the first two points:
Rate of change = (y2 - y1) / (x2 - x1)
= (1 - 0) / (0 - (-1))
= 1 / 1
= 1
Now, let's calculate the rate of change for the last two points:
Rate of change = (y2 - y1) / (x2 - x1)
= (2 - 1) / (1 - 0)
= 1 / 1
= 1
As you can see, the rates of change for both pairs of points are equal, indicating a constant rate of change.
Therefore, the correct answer is A. The rates of change are equal.