Question

What is the rate of change of the table below?



x 1 2 3 4 5 6
f(x) 10 15 20 25 30 35


Responses

-5
-5


negative 1 fifth


1 fifth

5
5

Answer 1

The rate of change of the table can be determined by finding the difference in the values of f(x) for successive values of x.

The difference between f(1) and f(2) is 15 - 10 = 5.
The difference between f(2) and f(3) is 20 - 15 = 5.
The difference between f(3) and f(4) is 25 - 20 = 5.
The difference between f(4) and f(5) is 30 - 25 = 5.
The difference between f(5) and f(6) is 35 - 30 = 5.

Therefore, the rate of change of the table is constant and equal to 5.