Question

The graph 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? (5 points)

Group of answer choices

90

45

fraction 1 over 45

fraction 1 over 90

Answer 1

Explanation:

To find the rate of change for the relationship represented in the graph, we need to calculate the slope of the line connecting the points on the graph. The slope of a line represents the rate of change between two points.

Let's take two points from the graph: (1, 45) and (4, 180).

The rate of change (slope) between these two points is given by:

Slope = (Change in y) / (Change in x)

Slope = (180 - 45) / (4 - 1)

Slope = 135 / 3

Slope = 45

So, the rate of change for the relationship represented in the graph is 45. Therefore, the correct answer is "45."