This table shows a value that represents an exponential function what is the average rate of change for this function for the interval from x=3 to x=5?
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Answer:
C
Step-by-step explanation:
The average rate of change on an interval is simply the slope between the endpoints.
We want to find the average rate of change of function y from x= 3 to x = 5.
Find the endpoints. From the table, we know that the endpoints are (3, 27) and (5, 125).
The slope between them is:
[tex]\displaystyle m=\frac{125-27}{5-3}=49[/tex]
So, the average rate of change of function y from x = 3 to x = 5 is 49.
Our answer is C.