Determine the value of f(4) that will lead to an average rate of change of 7,500 over the interval [4, 6]

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:



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

Yes the slope to this is -5