A relationship is proportional if the graph is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the slope of the line should remain consistent, reflecting a constant ratio between the two variables. If the graph deviates from this pattern, the relationship is not proportional.
A graph is not proportional if the relationship between the two variables does not pass through the origin (0,0) or if it does not maintain a constant ratio between the two variables. In a proportional relationship, the line graphed will be straight and through the origin, indicating that as one variable increases, the other increases at a consistent rate. If the graph shows curvature or if the line is not straight, it indicates a non-proportional relationship.
To determine if an answer represents a non-proportional relationship, check if the ratio between the two quantities remains constant. If the ratio changes as one quantity increases or decreases, or if the graph of the relationship does not pass through the origin, it indicates a non-proportional relationship. Additionally, if there is a fixed amount added or subtracted rather than multiplied or divided, the relationship is also non-proportional.
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
A graph shows a proportional relationship when it displays a straight line that passes through the origin (0,0). This indicates that as one variable increases or decreases, the other variable does so at a constant rate. The slope of the line represents the constant ratio between the two variables, confirming their proportionality. If the line is not straight or does not pass through the origin, the relationship is not proportional.
1. You can tell the difference because the proportional one has the same slope while the inversely one has opposite reciprocal slope.
The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
It is true in the case of inversely proportional relationship.
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
Yes.
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin. It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
To determine if an answer represents a non-proportional relationship, check if the ratio between the two quantities remains constant. If the ratio changes as one quantity increases or decreases, or if the graph of the relationship does not pass through the origin, it indicates a non-proportional relationship. Additionally, if there is a fixed amount added or subtracted rather than multiplied or divided, the relationship is also non-proportional.
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
It can be either a straight line through the origin or a hyperbola.
An inversely proportional graph is one where the relationship between two variables is such that as one variable increases, the other variable decreases at a constant rate. This relationship is usually represented by a curve that slopes downwards from left to right.
What dose a line graph tell you about the relationship between the variables in an experiment