Question

I need this before the 24th!
100 points!

Answer 1

The interval is [4,7]

Explanation:

The rate of change is given by

f(x2) - f(x1)

-------------------

x2 -x1

We want the rate of change to be 56

f(x2) - f(x1)

------------------- = 56

x2 -x1

We also know that the x2 is 7 so f(x2) = 192

192 - f(x1)

------------------- = 56

7 -x1

192 - f(x1) = 56( 7 -x1)

192 - f(x1) = 392 -56x1

Now we need to pick points from the table and see where it is true

(6,96)

192 - 96 = 392 -56*6

96=56 False

( 5,28)

192 - 28 = 392 -56*5

164=112 False

(4,24)

192 - 24 = 392 -56*4

168=168 True

The interval is [4,7]