Question:
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?
A. 2/5
B. 1
C.2
D.5/2
The image of the graph is attached below.
Answer:
Option D: 5/2 is the average speed over the interval [9,11]
Explanation:
The graph shows the distance in miles of a runner over x hours.
Now, we need to determine the average rate of speed over the interval
The x-axis represents the time taken.
The y-axis represents the distance.
To find the average speed, let us use the formula for speed which is given by
Thus, substituting the coordinates and , we have,
Hence, the average speed over the interval is