Question

this table contains ordered pairs for a function y =f(x).X Y-2 5-7 16-10 19-11 22-13 40-15 51what is the average rate of change of the function from x=-7 to x=-13?The avarge change of rate is

Answer 1

In order to determine the average rate of change, use the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

where (x1,y1) and (x2,y2) are a pair of values of the given table.

In this case, you have:

x1 = -13, y1 = 40

x2 = -7, y2 = 16

Replace the previous values of the parameters into the formula for m, as follow:

`m=(16-40)/(-7-(-13))=-(24)/(-7+13)=-(24)/(6)=-4`

Hence, the average rate of change is -4