Constant of Proportionality in Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It shows how one quantity changes in relation to another.

Front

How can you identify if a table is proportional?

Back

A table is proportional if the ratio of the values in one column to the values in another column remains constant.

Front

What does it mean if a table is non-proportional?

Back

A non-proportional table means that the ratios of the values do not remain constant; they change as the values increase or decrease.

Front

What is an example of a constant of proportionality?

Back

If 12 dollars buys 1 suit, the constant of proportionality is 12 dollars per suit.

Front

If k = 2, what does this mean in a proportional relationship?

Back

It means that for every unit increase in one quantity, the other quantity increases by 2 units.

Front

What is the unit rate?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of another quantity.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the values in one column by the corresponding values in another column and check if the result is the same for all pairs.

Front

What is the significance of the constant of proportionality in real-life situations?

Back

It helps to understand relationships between quantities, such as speed, density, and price per item.

Front

If a table shows distances on a map and actual distances, what indicates a proportional relationship?

Back

If the ratio of map distance to actual distance is constant, then the relationship is proportional.

Front

What does 'k = 1.50' indicate in a proportional relationship?

Back

It indicates that for every unit increase in one quantity, the other quantity increases by 1.50 units.