or equation represents a nonproportional relationship?
Answer:
The equation that represents a proportional relationship must have this form:
And the graph of a proportional relationship must be a a line that passes thorugh the origin.
Step-by-step explanation:
Since the graph is not attached, I will give you a general explanation about how to solve the exercise.
The equation of a line that passes through the origin is the following:
Where "m" is the slope of the line.
The proportional relationships have the following form:
Where "k" is the Constant of proportionality.
Therefore, the graph of proportional relationships is a line that passes through the origin.
Therefore the equation that represents a proportional relationship must have this form:
And the graph is a a line that passes thorugh the point
A nonproportional relationship is represented by equations or graphs in which the ratio of the variables does not remain constant, like the equation y = x².
A nonproportional relationship is one in which the ratio between the two variables does not remain constant. In terms of graphs or equations, a nonproportional relationship would not be a straight line when graphed. A simple example is the equation y = x². In this case, as x increases, y increases at a changing rate, not a constant rate, which shows it is nonproportional.
Furthermore, when you graph the equation y = x², it forms a parabola, not a straight line. A straight line would indicate a proportional relationship with a constant ratio, while a curve like a parabola indicates a nonproportional relationship.
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