Between x = 2 and x = 3, which function has a greater average rate of change than y = 13-x?

A) y = 2xB) y = 5x-2C) y = 14-xD) y = 23-x

For this case we have the following function:

y = 13-x

The function is linear, therefore, the average change rate is given by the slope of the line.

In this case the slope is:

m = - 1

The linear function with the highest rate of change (greater slope in this case) is given by:

y = 5x-2

In this case the slope is:

m = 5

Answer:

A function that has a greater average rate of change than y = 13-x is:

B) y = 5x-2