The rate of change between the first two rows is approximately 11.98. In the context of the exercise, this means that the runner ran 20 meters with an average speed of 11.98 m/s. We can follow the same process for the other given segment splits.
Changes between rows
Rate of change
As we can see, the rate of change is not constant. The runner had a higher average speed later in the race than in the middle.
We have been asked to find if the function given by the following table has a constant rate of change.
Time (s), x
Floor number, y
Let's find the change in x and change in y between each of the rows.
We can find the rate of change between each set of points by using the following relationship. rateofchange=changeinxchangeiny
We will now find the rate of change for the first two points.