Answer:
option: B is correct.
Step-by-step explanation:
we are given the coordinates (x,y) as:
(1,-3),(2,-3.5),(3,-6.75),(4,-10.125),(5,-15.1875),(6,-22.78125).
The average rate of change from [tex](x_{1},y_{1})[/tex] to [tex](x_{2},y_{2})[/tex] is defined as:
[tex]\dfrac{y_{2}- y_{1} }{x_{2}-x_{1}}[/tex]
here we are asked to find the average rate of change for the graphed sequence from n=2 to n=4.
i.e. we need to find average rate of change from (2,-3.5) to (4,-10.125) is given by:
[tex]\dfrac{-10.125-(-3.5)}{4-2}\\ \\=\dfrac{-6.625}{2}\\ \\=-3.3125[/tex].
Hence the average rate of change from n=2 to n=4 is: -3.3125.
Hence, option B is correct.
