Question

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

Answer 1

Studying, the table , the average rate of change from one x value to another follows a pattern. Therefore,

`\begin{gathered} 0\text{ to 1 }\rightarrow2 \\ 1\text{ to 2 }\rightarrow2*3=6 \\ 2\text{ to 3 }\rightarrow\text{ 6}*3=18 \\ 3\text{ to 4 }\rightarrow18*3=54 \\ \ldots\ldots\ldots\text{.} \\ 5\text{ to 6 }\rightarrow162*3=486 \\ 6\text{ to 7}\rightarrow486*3=1458 \\ 7\text{ to 8}\rightarrow1458*3=4374 \end{gathered}`

B.