The equation y = 3x represents a linear relationship between Alonso's walking speed (y) and the distance he walks (x). It indicates that his walking speed is three times the distance he walks.
In the graph, every point on the line y = 3x represents a specific combination of distance walked (x) and walking speed (y). The x-coordinate represents the distance, while the y-coordinate represents the walking speed.
For the points (3, 9) and (5, 15), they represent specific situations for Alonso.
At point (3, 9), the x-coordinate of 3 represents the distance Alonso walked, and the y-coordinate of 9 represents his walking speed. This means that when Alonso walks a distance of 3 units (e.g., 3 meters, 3 kilometers), his walking speed is 9 (e.g., 9 meters per second, 9 kilometers per hour).
Similarly, at point (5, 15), the x-coordinate of 5 represents the distance Alonso walked, and the y-coordinate of 15 represents his walking speed. This means that when Alonso walks a distance of 5 units, his walking speed is 15.
In summary, the points (3, 9) and (5, 15) represent specific combinations of distance walked and walking speed for Alonso, according to the given equation and graph.
Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent? Explain.
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