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What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
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 are quantities that have a constant ratio or rate?
[Directly] proportional quantities.
What is the 2 quantities that have a constant rate or ratio?
Proportional
What are two quantities whose ratio is constant?
The diameter and circumference of a circle.
What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
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).
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 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 in which the ratio of the manipulated variable an the responding variable are constant?
It is a direct [linear] proportionality.
What is the relationship between two variables quantities with a constant ratio?
It is a 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 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 a relationship between two quantities in which the ratio of one quantity to other quantity is constant?
It is called direct variation.
What are quantities that have a constant ratio or rate?
[Directly] proportional quantities.
What does the k represent in the direct variation ykx?
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx ) where k is the constant of variation .
What is the 2 quantities that have a constant rate or ratio?
Proportional
