What is the average rate of change for this exponential function for the interval from x=0 to x=2

The equation to calculate the average rate of change is: y/x

y = f (x2) - f (x1) x = x2 - x1

x1: 1 (The smaller x value. It can be any number) x2: 2 (The larger x value. It also can be any number) f (x1) : The value when you plug x1 into the function. f (x2) : The value when you plug x2 into the function.

If we know this, the variables for this problem are assuming the function is 10 (5.5) ^x:

x2: 2x1: 1f (x2) : 10 (5.5) ^ (2) = 302.5f (x1) : 10 (5.5) ^ (1) = 55

This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1

Remember: the equation for avg rate of change is y/x

So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)