Question
What is the rate of change of the table below?
x 1 2 3 4 5 6
f(x) 12 19 26 33 40 47
Responses
7
7
-12
-12
1/7
12
x 1 2 3 4 5 6
f(x) 12 19 26 33 40 47
Responses
7
7
-12
-12
1/7
12
Answers
GPT 3.5
The rate of change of the table can be found by calculating the difference in the values of f(x) for consecutive values of x.
For example, the difference between f(1) and f(2) is 19 - 12 = 7.
Similarly, the difference between f(2) and f(3) is 26 - 19 = 7.
This pattern continues for all consecutive pairs of x values and their corresponding f(x) values.
Therefore, the rate of change is 7.
For example, the difference between f(1) and f(2) is 19 - 12 = 7.
Similarly, the difference between f(2) and f(3) is 26 - 19 = 7.
This pattern continues for all consecutive pairs of x values and their corresponding f(x) values.
Therefore, the rate of change is 7.