Part A
Match the correct rate of change with each function.
Evan's function
x 0 3 6
y 5 11 17
Part B
Which function has thee greater rate of change
1. they have the same rate of change
2. there is not enough information
3. Evan's function
4. Evie's Function
Part A:
The rate of change for Evan's function can be found by calculating the difference in y values and dividing by the difference in x values.
For x=0 to x=3: (11-5)/(3-0) = 6/3 = 2
For x=3 to x=6: (17-11)/(6-3) = 6/3 = 2
So, the rate of change for Evan's function is 2 for both intervals.
Part B:
Since both Evan's function and Evie's function have the same rate of change (2), the answer is 1. They have the same rate of change.