The average rate of change for the interval from x=9 to x=10 is 39366
Exponential equation
The standard exponential equation is given as y = ab^x
From the values of the average change, you can see that it is increasing geometrically as shown;
2, 6, 18...
In order to , find the average rate of change for the interval from x=9 to x=10, we need to find the 10 term of the sequence using the nth term of the sequence;
Tn = ar^n-1
Given the following
a = 2
r = 3
n = 10
Substitute
T10 = 2(3)^10-1
T10 = 2(3)^9
T10 = 39366
Hence the average rate of change for the interval from x=9 to x=10 is 39366
Learn more on exponential function here: https://brainly.com/question/12940982
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