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What relationship exist between two variables when their ratio is constant?
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
What are the two way to determine if the relationship between two quantities are proportional?
Graphical: If two variables are proportional, the graph of one of the variables against the other is a straight line through the origin.Algebraic: If the ratio of the two variables is a constant.
Is y-2.5x a proportional relationship or no?
A proportional relationship exists when two variables are related by a constant ratio. In the expression y-2.5x, there is no constant multiplier connecting y and x, indicating a non-proportional relationship. If the relationship were proportional, the expression would be in the form y = kx, where k is a constant.
What is a constant ratio of two variables related proportionally in math?
It is the constant of proportionality or the conversion factor.
What has a variation in the relationship between two variable quantities with a constant ratio?
The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).
What is the relationship in which the ratio of the manipulated variables and the responding variables is constant?
Direct Proportion
What relationship exists between two variable when their ratio is a constant?
Two variables whose ratio is constant have a linear relationship. The first variable is the second multiplied by the constant.
What is the relationship between two variables quantities with a constant ratio?
It is a direct proportion.
When the ratio of 2 variables is constant their relationship can be desribe as?
When the ratio of two variables is constant, their relationship can be described as directly proportional. This means that as one variable increases or decreases, the other variable changes in a consistent manner, maintaining the same ratio. Mathematically, this can be expressed as ( y = kx ), where ( k ) is the constant of proportionality.
What is a relationship in which the ratio of two variables is a constant?
A relationship in which the ratio of two variables is constant is known as a direct variation or direct proportionality. In this relationship, as one variable increases or decreases, the other variable changes in a consistent manner, maintaining the same ratio. Mathematically, it can be expressed as ( y = kx ), where ( k ) is the constant ratio. This type of relationship is often seen in scenarios involving linear equations and proportional relationships.
When the ratio of two variables is constant their relationship can be described as what?
dependent
What relationship exits between two variables when their ratio is constant?
When the ratio between two variables is constant, they exhibit a direct proportional relationship. This means that as one variable increases or decreases, the other variable changes in a consistent manner, maintaining the same ratio. Mathematically, this can be expressed as ( y = kx ), where ( k ) is the constant ratio. In this relationship, if one variable is multiplied or divided by a certain factor, the other variable will be multiplied or divided by the same factor.
What does constant of proportion mean?
If two variables are in direct relationship then the ratio of the two variables is known as the constant of proportion between them. In algebraic form, if X and Y are the two variables, then direct proportionality implies that Y = cX and c is the constant of proportionality.
What is it called when the ratio of two variables is constant?
When the ratio of two variables is constant, it is referred to as a "directly proportional" relationship. In mathematical terms, if ( y ) is directly proportional to ( x ), it can be expressed as ( y = kx ), where ( k ) is the constant of proportionality. This means that as one variable increases or decreases, the other variable does so in a consistent manner, maintaining the same ratio.
What is a constant ratio of two variables that are related proportionally?
It is the constant of proportionality.
How do you know if a relationship is proportional or not?
A relationship is proportional if it maintains a constant ratio between two variables. This can be determined by plotting the data on a graph; if the points form a straight line that passes through the origin (0,0), the relationship is proportional. Additionally, you can check if the ratio of the two variables remains the same for all pairs of corresponding values. If the ratio changes, the relationship is not proportional.
What relationship exist between two variables when their ratio is constant?
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
