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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.
What is the relationship between two ratios with a constant rate or ratio?
The answer is "proprtional".
When the ratio of two variabes is constant their relationship can be described as?
Direct Proportion
What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
How can you use constant ratios to determine if a relationship is proportional?
set up a proportion and see if both sides simplify to the same answer. If the 2 ratios represent a constant ratio they will simplify into fractions
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 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 between two ratios with a constant rate or ratio?
The answer is "proprtional".
When the ratio of two variabes is constant their relationship can be described as?
Direct Proportion
What is the relationship between two quantities in which the ratio of one quantity to the other quantity is constant?
A linear relationship
What is the relationship between two variables quantities with a constant ratio?
It is a direct proportion.
What is the relationship in which the ratio of the manipulated variables and the responding variables is constant?
Direct Proportion
How do you calculate the constant of proportionality?
The constant of proportionality can be calculated by dividing the output variable by the input variable in a proportional relationship. It represents the ratio between the input and output quantities in the relationship. This constant remains the same throughout the relationship.
What is the relationship in which the ratio of the manipulated variable an the responding variable are constant?
It is a direct [linear] proportionality.
What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
When the ratio of two variables is constant their relationship can be described as what?
dependent
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.
