Please I need help with this math question​(with explanation)

Heyoo. Hope this helps you understand why is the answer is option 2. If you still don’t understand, feel free to ask for me to further explain. I used two important rules to figure it out (they are included in the picture).

a. [1,2]

b. [1,3.5]

c. [1,5]

d. [0,3.5]

So then we can conclude that the highest slope is for the interval [1,2] and that would be our solution for the fastest average rate.

a. [1,2]

Step-by-step explanation:

Assuming that we have the figure attached for the function. For this case we just need to quantify the slope given by:

For each interval and the greatest slope would be the interval on which the volume of the box is changing at the fastest average rate

a. [1,2]

b. [1,3.5]

c. [1,5]

d. [0,3.5]

So then we can conclude that the highest slope is for the interval [1,2] and that would be our solution for the fastest average rate.

a. [1,2]