Answer:
Rate of change of function in first 2 seconds is units per second.
Step-by-step explanation:
Average rate of change of a function is its gradient/slope (m)
Gradient or the rate of change can be calculated by the following equation,
Here refers to a certain y axis value of the line drawn and is the x value that corresponds to that y value. and operates with same logic.
Lets pick a y value from the graph,
= 100
So the x value corresponding to that () would be 2
Lets pick another y value from the graph.
[tex]y_{2}[/tex] = 50
So the x value corresponding to that () would be 0
<u>So by substituting to the equation for gradient or the rate of change,</u>
=
=
=
The graph is a linear graph so the rate of change of function is the same in every position.
Therefore the Rate of change of function in first 2 seconds is units per second.