The graph shows the distance, y, that a car traveled in x hours: A graph is shown with the 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 325 in increments of 65 for each grid line. A line is shown connecting ordered pairs 1, 65 and 2, 130 and 3, 195 and 4, 260. The title of the graph is Rate of Travel. What is the rate of change for the relationship represented in the graph? (1 point) fraction 1 over 65 fraction 1 over 64 64 65

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Answer:

The rate of change is 65 miles per hour.

Step-by-step explanation:

The rate of change is the slope, m. To find the slope, use any pair of points.

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

We will use points (1, 65) and (2, 130).

[tex] m = \dfrac{130 - 65}{2 - 1} [/tex]

[tex] m = \dfrac{65}{1} [/tex]

The rate of change is 65 miles per hour.

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