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 [tex][9,11][/tex]
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
[tex]speed=\frac{distance}{time}[/tex]
Thus, substituting the coordinates [tex](9,6)[/tex] and [tex](11,11)[/tex], we have,
[tex]speed=\frac{11-6}{11-9} =\frac{5}{2}[/tex]
Hence, the average speed over the interval [tex][9,11][/tex] is [tex]\frac{5}{2}[/tex]
