Question

The graph below shows the distance, y, that a car traveled in x hours: A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to 225 in increments of 45 for each grid line. A line is shown connecting ordered pairs 1, 45 and 2, 90 and 3, 135 and 4, 180. The title of the graph is Rate of Travel. What is the rate of change for the relationship represented in the graph?

Answer 1

Answer:

$m=45$

Step-by-step explanation:

The rate change refers to the slope of the line that describes the relation between variables, that is, time and distance.

The given coordinates are

$(1,45)\\(2,90)\\(3,135)\\(4,180)$

According to the problem, the line crosses all these points, that means we can take two of them and find the slope with the following formula

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$, we are gonna use $(1,45)(4,180)$

Replacing these coordinates, we have

$m=\frac{180-45}{4-1}=\frac{135}{3}= 45$

Therefore, the rate of change for the relationship represented in the graph is

$m=45$

Answer 2

The rate of change is 45 over 1