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]?

Answer 1

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 $[9,11]$

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

$speed=\frac{distance}{time}$

Thus, substituting the coordinates $(9,6)$ and $(11,11)$, we have,

$speed=\frac{11-6}{11-9} =\frac{5}{2}$

Hence, the average speed over the interval $[9,11]$ is $\frac{5}{2}$

Answer 2

this can also be explained as d on edg :)