An arbitrary variable (x) is equal to a constant (k) times another variable (y).
Formula: x=ky
It is true in the case of inversely proportional relationship.
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.
If the ratio between each pair of values is the same then the relationship is proportional. If even one of the ratios is different then it is not proportional.
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 graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
Proportional is when it is proportional.
Directly proportional relationship is F=ma, F is directly proportional to a. Inversely proportional relationship is v=r/t, v is inversely proportional to t.
You cannot represent a proportional relationship using an equation.
It is true in the case of inversely proportional relationship.
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.
If the ratio between each pair of values is the same then the relationship is proportional. If even one of the ratios is different then it is not proportional.
In the context of a proportional relationship, where the relationship can be expressed as (y = kx) for some constant (k), the equation (n = 2) does not represent a proportional relationship. It is simply a constant value rather than a variable relationship between two quantities. For a relationship to be proportional, there must be a consistent ratio between two variables that can vary.
y is inversely proportional to x if it is proportional to 1/x.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
To determine if a situation represents a proportional relationship, you can compare the rates of two quantities. If the ratio of one quantity to the other remains constant regardless of the values, the relationship is proportional. For example, in a situation where you are analyzing the cost of items, if the price per item stays the same as the quantity changes, then it indicates a proportional relationship. Conversely, if the ratio changes, the relationship is not proportional.
Direct proportional means as one value increases the other value increases as well. For example, if add mass into a plastic bag the bag will expand/stretch therefore if mass increase the streching will increase as well. Hope you find it helpful!
they are equivalent