Question

The graph shows the distance, y, that a car traveled in x hours:

Answer 1

Here, You need to calculate the slope of the graph by taking any two random points, as follows:
(x₁,y₁) = (0,0) & (x₂,y₂) = (1,55)

Now, we know, 
y₂-y₁ = m(x₂-x₁)
55-0 = m(1-0)
m = 55/1
m = 55

Here m represents the slope of graph which is nothing but rate of change of distance.

In short, option A will be your answer.

Hope this helps!

Answer 2

Answer:  55 miles per hour

Step-by-step explanation:

Given : The graph shows the distance, y, that a car traveled in x hours.

The rate of change of a function is given by :-

$k=\dfrac{\text{Change in y}}{\text{Change in x}}$

When we look in the graph , we observe that the graph is passing through two points (0,0) and (1,55).

Now, the rate of change for the relationship represented in the graph will be :_

$k=\dfrac{55-0}{1-0}=55$

Hence, the  rate of change for the relationship represented in the graph is 55 miles per hour.