Proportional relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values in the table are equal.

Front

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

Back

A non-proportional table means that the ratios of the corresponding values are not constant.

Front

If x increases and y increases at a constant rate, what type of relationship is this?

Back

This is a proportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is this proportional?

Back

Yes, this is a proportional relationship because the ratio of y to x is constant (2:1).

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the table showing values (1, 2), (2, 5), (3, 7), where the ratios are not constant.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

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

Back

To find the constant of proportionality, divide the y-value by the corresponding x-value for any pair of values.

Front

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

Back

If the graph is a straight line through the origin, it indicates a proportional relationship.