Is each table/graph below a function with a constant rate of change, or is it a function that does not have a constant rate of change?
x y
-2 3
-1 7
0 8
1 10
2 13
3 16
a function with a constant rate of change.
A. IS
B. IS NOT
A. IS
x y
-2 10
-1 8
0 6
1 4
2 2
3 0
a function with a constant rate of change.
A. IS
B. IS NOT
A. IS NOT
To determine if the given table represents a function with a constant rate of change, we need to check if the difference between consecutive y-values remains the same throughout the table.
First, let's calculate the difference between consecutive y-values:
- The difference between y-values for the first point (-2, 3) and the second point (-1, 7) is 7 - 3 = 4.
- The difference between y-values for the second point (-1, 7) and the third point (0, 8) is 8 - 7 = 1.
- The difference between y-values for the third point (0, 8) and the fourth point (1, 10) is 10 - 8 = 2.
- The difference between y-values for the fourth point (1, 10) and the fifth point (2, 13) is 13 - 10 = 3.
- The difference between y-values for the fifth point (2, 13) and the sixth point (3, 16) is 16 - 13 = 3.
As we can see, the differences are not the same throughout the table. Therefore, the table does not represent a function with a constant rate of change.
Thus, the answer is:
B. IS NOT