Find the average rate of change of the function defined by the following table.
x y
-2 -5
2 35
6 75
10 115

-1/10
1/10
10
-10

Question

Find the average rate of change of the function defined by the following table.
x	y
-2	-5
2	35
6	75
10	115



-1/10
1/10
10
-10

vocaloid · Answer

let's pick two points on the table

(-2,	-5)
(2,	35)

average change = change in y/change in x

vocaloid · Answer

so, we first subtract the y-coordinates to find the change in y

35 - (-5) = ?

skarlettrose186 · Answer

40?

vocaloid · Answer

good

now we subtract the x-coordinates

2 - (-2)  = ?

skarlettrose186 · Answer

4

vocaloid · Answer

good!

so 

change in y/change in x = 40/4 = 10

mathmale · Answer

Sorry for having closed your post by mistake.  Mea culpa.
Just divide the change in y by the change in x to get the average rate of change.  This is very similar to finding the slope of a line segment connecting two points.

skarlettrose186 · Answer

ok thank you i was wondering why it got closed

mathmale · Answer

Not due to any fault of yours.