Constant of proportionality

Front

What does the 'k' represent in the equation y=kx?

Back

The 'k' represents the constant of proportionality, which is also known as the multiplier or unit rate.

Front

Why does the equation y=kx show a proportional relationship?

Back

It shows a proportional relationship because it goes through the point of origin (0,0) and is a straight line.

Front

Identify the constant of proportionality in the equation y=5x.

Back

k = 5.

Front

What indicates a non-proportional relationship in a graph?

Back

A non-proportional relationship is indicated if the graph does not go through the point of origin (0,0) or is not a straight line.

Front

Is the following table proportional or non-proportional? (x: 1, 2, 3; y: 2, 4, 6)

Back

Proportional.

Front

What is the definition of a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

If k = 1/5, what is the relationship between x and y in the equation y=kx?

Back

As x increases, y increases at a rate of 1/5 of x.

Front

What does it mean if a graph is a straight line through the origin?

Back

It means that the relationship between the variables is proportional.

Front

How can you determine if a set of points represents a proportional relationship?

Back

If the points form a straight line that passes through the origin, they represent a proportional relationship.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much y changes for a unit change in x.