Constant of Proportionality - Level 3

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin, it indicates a proportional relationship between the variables.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant and the graph is a straight line that passes through the origin.

Front

What is the formula for the constant of proportionality?

Back

The constant of proportionality can be represented as k = y/x.

Front

If k = 10, what does this imply about the relationship between x and y?

Back

It implies that for every 1 unit increase in x, y increases by 10 units.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and does not have a constant ratio between the variables.

Front

If a graph has a constant of proportionality k = 5, what does this mean in practical terms?

Back

It means that for every 1 unit of x, y increases by 5 units.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope of the line in a proportional relationship represents the constant of proportionality.

Front

Can the constant of proportionality be negative?

Back

Yes, the constant of proportionality can be negative, indicating an inverse relationship.

Front

What happens to the constant of proportionality if the relationship is not linear?

Back

If the relationship is not linear, the constant of proportionality does not exist as the ratio is not constant.