Oh, dude, that's easy! So, like, when you have a situation where the ratio of one quantity to another stays the same no matter what, it's called a "proportional relationship." It's like having a best friend who always splits the bill with you 50/50, no matter how much guacamole you order. It's all about that consistent ratio, man.
A [directly] proportional relationship between two variables, X and Y implies thatY = cX where c is the constant of proportionality.
an equation that expresses a relationship between two or more quantities
it is called an inequality
it would be a function * * * * * Not always. It depends on the direction of the relationship. Consider y = x2 where x is a real number. The relationship from x to y is a function but the one in the opposite direction (x = sqrt(y) is not a function because it is a one-to-many mapping.
The relationship is called a surjection or a surjective function.
A linear relationship
It is called direct variation.
it is a proportional relationship because a proportional relationship is known as a relationship between two quantities in which the ratio of one quantity to the other quantity is constant.
The proportionality constant in physics is important because it defines the relationship between different physical quantities in an equation. It determines how one quantity changes in relation to another. For example, in Newton's second law of motion, the proportionality constant relates force to acceleration. Changing the value of the proportionality constant can alter the strength of the relationship between the quantities being studied.
The relationship between two quantities that increase or decrease together is called a positive correlation. This means that as one quantity increases, the other quantity also increases, and vice versa.
Direct relationship: When two quantities increase or decrease together. Inverse relationship: When one quantity increases while the other decreases. Linear relationship: When the relationship between the quantities can be represented by a straight line. Nonlinear relationship: When the relationship between the quantities cannot be represented by a straight line.
It is a direct proportion.
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).
Direct variation.
A proportional relationship between two quantities is one in which the two quantities called the unit rate, the rate of change, or the constant of proportionality.
In that case, one quantity (the quantity that depends on the other) is said to be a function of the other quantity.
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.