The table of values represents a function f(x).

how much greater is the average rate of change over the interval [9, 10] than the interval [5, 8] ?

enter your answer in the box. x

the table of values represents a function f(x).

how much greater is the average rate of change over the interval [9, 10] than the interval [5, 8] ?

x f(x)

5 75

6 202

7 549

8 1491

9 4052

10 11,014

enter your answer

The average rate of change over the interval [9,10] is greater than that over the interval [5,8] by 6490.

Step-by-step explanation:

The value of f(x) = 4052 for x = 9 and f(x) = 11014 for x = 10.

Therefore, the average rate of change of f(x) with respect to x over the interval [9,10] is given by  

=

=

Now, the value of f(x) = 75 for x = 5 and f(x) = 1491 for x = 8.

Therefore, the average rate of change of f(x) with respect to x over the interval [5,8] is given by

=

=

Therefore, the average rate of change over the interval [9,10] is greater than that over the interval [5,8] by (6962 - 472) = 6490. (Answer)