82.2k views
3 votes
The graph shows the distance, y, that a car traveled in x hours:

What is the rate of change for the relationship represented in the graph?

55
54
fraction 1 over 54
fraction 1 over 55

The graph shows the distance, y, that a car traveled in x hours: What is the rate-example-1
User Deac Karns
by
8.2k points

2 Answers

4 votes

Answer: 55 miles per hour

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=\frac{\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=(55-0)/(1-0)=55

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

User Donesha
by
8.6k points
3 votes
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!
User Ali Samii
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.