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

Answer 1

Average rate of change is 10 .

Explanation:

Y = -5 , 35 , 75 , 115

X = -2 , 2 , 6 , 10

y2 - y1

m = ---------------

x2 - x1

-5 - 35 -40

m = --------------- = ----- - = 10

-2 - 2 -4

75 - 115 -40

m = --------------- = ----- - = 10

6 - 10 -4

Answer 2

By definition we have that the average rate of change of the function is:

`AVR = (f(x2) - f(x1))/(x2 - x1)`

Evaluating the function for the complete interval we have that the AVR is given by:

`AVR = (115 - (-5))/(10 - (-2))`

Rewriting we have:

`AVR = (115+5)/(10+2)`

Simplifying the expression we have:

`AVR = (120)/(12)`

`AVR = 10`

Answer:

the average rate of change of the function defined by the table is:

`AVR = 10`