If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely 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.
To determine if ( y = 3x ) represents a proportional relationship, we check if it can be expressed in the form ( y = kx ), where ( k ) is a constant. In this case, ( k = 3 ), which indicates that as ( x ) increases, ( y ) increases proportionally. Therefore, ( y = 3x ) is indeed a proportional relationship.
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.
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.
If you mean: y=7x -3 then it is a proportional relationship of a straight line equation.
A straight line through the origin, and with a positive gradient (sloping from bottom left to top right).
Proportional is when it is proportional.
If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely 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.
To determine if ( y = 3x ) represents a proportional relationship, we check if it can be expressed in the form ( y = kx ), where ( k ) is a constant. In this case, ( k = 3 ), which indicates that as ( x ) increases, ( y ) increases proportionally. Therefore, ( y = 3x ) is indeed a proportional relationship.
It is true in the case of inversely proportional relationship.
You cannot represent a proportional relationship using an equation.
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.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
they are equivalent