These tables represent an exponential function. Find the average rate of change for the interval from x = 9 to v = 10
A
5
X
0
1
2
1
3
9
27
81
3
4
243
6
729
Average rate of change
2
Interval
0 to 1
1 to 2
6
x3
2 to 3
18
54
x3
x3
3 to 4
4 to 5
162
x3
5 to 6
486
7 * 3
A. 19,683
B. 39,366
C. 3
D. 59,049
To find the average rate of change for the interval x = 3 to x = 4, we first need to calculate the change in the function values at those points.
At x = 3, the function value is 729.
At x = 4, the function value is 2187.
Change in function values = 2187 - 729 = 1458
Change in x values = 4 - 3 = 1
Average rate of change = Change in function values / Change in x values
Average rate of change = 1458 / 1 = 1458
So, the average rate of change for the interval x = 3 to x = 4 is 1458.
Therefore, the answer is not provided in the options given.