Proportional
[Directly] proportional quantities.
1) It has to go through the origin (0,0). 2) It has to be consistent.
They are proportional if a change in one of the quantities always and necessarily results in a proportional change in the other.So if you think of a simple equation, x = 2y then the quantities are proportional. If you double y then x is necessarily also doubled. If you triple y then x is also tripled. If you halve y then x is halved and so forth.However x = 2y + 1 is non proportional. This is because if, for example, you double y then x is increased but it is not exactly doubled and so the change is not in proportion. For example, in this equation, when y = 2 then x = 5. When y = 4 then x = 9. 9 is not the double of 5.
In mathematics, two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other.
Any two non-zero quantities are always proportional. If the two quantities are X and Y, they are proportional to X/Y.
Proportional
The answer is proportional.
[Directly] proportional quantities.
1) It has to go through the origin (0,0). 2) It has to be consistent.
Two quantities are said to be proportional if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio.
They are proportional if a change in one of the quantities always and necessarily results in a proportional change in the other.So if you think of a simple equation, x = 2y then the quantities are proportional. If you double y then x is necessarily also doubled. If you triple y then x is also tripled. If you halve y then x is halved and so forth.However x = 2y + 1 is non proportional. This is because if, for example, you double y then x is increased but it is not exactly doubled and so the change is not in proportion. For example, in this equation, when y = 2 then x = 5. When y = 4 then x = 9. 9 is not the double of 5.
a proportional relationship means that it is contributed equally into other parts or quantities
Proportional
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 mathematics, two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other.
Proportional quantities are described by equivalent ratios because they maintain a constant relationship between two quantities. For example, if two ratios, such as 1:2 and 2:4, are equivalent, they represent the same relationship, meaning that as one quantity increases, the other does so in a consistent manner. This property allows for scaling up or down while preserving the ratio, demonstrating how proportional relationships function in various contexts, such as cooking, finance, or geometry.