Question

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

How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6] ?
Question 8 options:

1500


1/1500


5382


1/5382

Answer 1

1500

Explanation:

The average rate of change of a function on the interval [a, b] is given by ...

rate of change = (f(b) -f(a))/(b -a)

On the interval [7, 9], the average rate of change is ...

(5760 -1920)/(9 -7) = 3840/2 = 1920

On the interval [4, 6], the average rate of change is ...

(945 -105)/(6 -4) = 840/2 = 420

The rate of change on the first interval is greater by ...

1920 -420 = 1500