Respuesta :
Average rate can be calculated like the slope
[tex]\frac{y2-y1}{x2-x1}[/tex]where (x2,y2) is a right point yo (x1,y1)
But we need the values of x=8 and x=9
we realize the change between values of y is the last value by 3 then if
[tex]\begin{gathered} 6\longrightarrow729 \\ 7\longrightarrow729\times3=2187 \\ 8\longrightarrow2187\times3=6561 \\ 9\longrightarrow6561\times3=19683 \end{gathered}[/tex]we have the corresponding values for x=8 and x=9
now replace on the formula of the slope using the points (8 , 6561) and (9 , 19683)
where (9 , 19683) is (x2,y2) and (8 , 6561) is (x1,y1)
[tex]\begin{gathered} \frac{19683-6561}{9-8} \\ \\ \frac{13122}{1}=13122 \end{gathered}[/tex]the avreage rate of change for the interval 8 to 9 is 13122
We realize the values of the average are multiplied by 3 too, then we can fi
