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.
whats the answer?
idk im asking the same question bro like whats the answer
The equation y = 3x represents a linear relationship between the variables x and y. Specifically, it represents the relationship where the value of y is always three times the value of x. This means that as x increases or decreases, y will increase or decrease by three times that amount.
In terms of the graph, it would show a straight line passing through the origin (0,0) with a positive slope. This indicates that as x increases, so does y, and vice versa.
Now, let's analyze the points (3, 9) and (5, 15) in relation to the equation and graph.
The first point (3, 9) means that when x is 3, the value of y is 9. If we substitute these values into the equation y = 3x, we get y = 3 * 3, which equals 9. So, this point lies on the line formed by the equation. It represents a specific instance where Alonso's walking speed has reached 9 units.
Similarly, the second point (5, 15) means that when x is 5, the value of y is 15. Substituting these values into the equation, we get y = 3 * 5, which equals 15. So, this point also lies on the line and represents another instance where Alonso's walking speed has reached 15 units.
In summary, both points (3, 9) and (5, 15) lie on the line defined by the equation y = 3x and represent specific situations where Alonso's walking speed has reached those respective values.