Answer:
The equation to calculate the average rate of change is: y/x
Step-by-step explanation:
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: 2
x1: 1
f(x2): 10(5.5)^(2) = 302.5
f(x1): 10(5.5)^(1) = 55
This means:
y = 302.5 - 55 = 247.5
x = 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)
