These tables represent an exponential function. Find the average rate of change for the interval from x=7 to x=8A. 6561B. 4374C. 2187D. 3

Studying, the table , the average rate of change from one x value to another follows a pattern. Therefore,
[tex]\begin{gathered} 0\text{ to 1 }\rightarrow2 \\ 1\text{ to 2 }\rightarrow2\times3=6 \\ 2\text{ to 3 }\rightarrow\text{ 6}\times3=18 \\ 3\text{ to 4 }\rightarrow18\times3=54 \\ \ldots\ldots\ldots\text{.} \\ 5\text{ to 6 }\rightarrow162\times3=486 \\ 6\text{ to 7}\rightarrow486\times3=1458 \\ 7\text{ to 8}\rightarrow1458\times3=4374 \end{gathered}[/tex]B.