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
12
7
-12
1/7
x,1,2,3,4,5,6
f(x),12,19,26,33,40,47
12
7
-12
1/7
Answers
GPT 3.5
The rate of change of the table can be found by calculating the difference in values of f(x) for successive values of x.
For example, the rate of change between x=1 and x=2 is:
f(2) - f(1) = 19 - 12 = 7
Similarly, the rate of change between x=2 and x=3 is:
f(3) - f(2) = 26 - 19 = 7
From this pattern, we can see that the rate of change between any two consecutive values of x is 7. Therefore, the rate of change of the table is 7.
For example, the rate of change between x=1 and x=2 is:
f(2) - f(1) = 19 - 12 = 7
Similarly, the rate of change between x=2 and x=3 is:
f(3) - f(2) = 26 - 19 = 7
From this pattern, we can see that the rate of change between any two consecutive values of x is 7. Therefore, the rate of change of the table is 7.