Derived unit
c, but the word is DIRECTLY, not dirctly!
Direct Proportion
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.
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.
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.
dependent
Direct Proportion
c, but the word is DIRECTLY, not dirctly!
It is a direct proportion.
Direct Proportion
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.
Two variables whose ratio is constant have a linear relationship. The first variable is the second multiplied by the constant.
The ratio of the two variables is not the same for all pairs.
When a question asks you to state the relationship between variables, it is requesting you to describe how the variables are related to each other. This could include whether they have a positive or negative correlation, whether one variable causes a change in the other, or if there is no relationship between the variables.
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.
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
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.