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]

Step-by-step 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=(distance)/(time)`

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

`speed=(11-6)/(11-9) =(5)/(2)`

Hence, the average speed over the interval
`[9,11]` is
`(5)/(2)`