The average rate of change over the interval [7, 9] is 2.37 times larger than the average rate of change over the interval [4, 6]
How to get the average rate of change?
For a function f(x), the average rate of change on an interval [a, b] is given by:
[tex]a = \frac{f(b) - f(a)}{b - a}[/tex]
So, the average rate of change on the interval [7, 9] is:
[tex]a_{[7,9]} = \frac{3878 - 1852}{9 - 7} = 1013[/tex]
And on the interval [4, 6], it is:
[tex]a_{[4,6]} = \frac{1178 - 358}{6 - 4} = 410[/tex]
To see how much greater is the average rate of change over the interval [7, 9] than the interval [4, 6], we take the quotient between these two values.
1013/410 = 2.37
The average rate of change over the interval [7, 9] is 2.37 times larger than the average rate of change over the interval [4, 6]
If you want to learn more about the average rate of change, you can read:
https://brainly.com/question/8728504
