Answer: 605
Explanation:
This question is incomplete as you need the value of the function at x = 6 to work with the rate of change.
I found that table of values for this question, so please see the figure attached if you need.
I do all the calculations in here.
1) data from the table f(6) = 15,605
2) average rate of change formula:
[tex]average= \frac{f(6)-f(4)}{6-4} =7500[/tex]
average rate of change = ( 15,605 - y) / (6 - 4) = 7500
(15,605 - y) = 2 × 7500
⇒ y = 15.605 - 15,000
⇒ y = 605
You can verify: (15,605 - 605) / (6 - 4) = 7500
