Question

If x represents time, the average rate of change of a function f(x) in the first two seconds is____.

Answer 1

(0,50), (2,100)
(y2-y1)/(x2-x1)=(100-50)/(2-0)=25

the rate of change is 25

Answer 2

The average rate of change of a function f(x) in the first two seconds is 25.

Explanation:

Given : Graph , X represent the time , function f(x).

To find : the average rate of change of a function f(x) in the first two seconds is____.

Solution : The rate of change of f(x) with respect to x is the slope of the line.

slope :
`(y_(2)-y_(1))/(x_(2)-x_(1))`.

In first two second ( 0, 50 ) , ( 2, 100).

slope :
`(100-50)/(2-0)`.

slope :
`(50)/(2 )`.

the average rate of change of a function f(x) in the first two seconds is 25.

Therefore,The average rate of change of a function f(x) in the first two seconds is 25.