Proportional/Non-proportional

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 is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How can you tell if a table shows a proportional relationship?

Back

If the ratios of the corresponding values are the same for all pairs, it shows a proportional relationship.

Front

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

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If Josh bought a pizza with 8 slices for $12, what is the cost per slice?

Back

The cost per slice is $12 / 8 = $1.50.

Front

If the cost of pizza varies directly with the number of slices, what does that mean?

Back

It means that as the number of slices increases, the total cost increases at a constant rate.

Front

What is the constant of proportionality in the equation y = 19.25x?

Back

The constant of proportionality is 19.25.

Front

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

Back

A non-proportional graph does not maintain a constant ratio between the x and y values.

Front

How can you determine if a graph is proportional or non-proportional?

Back

Check if it passes through the origin and if the ratios of y to x are constant.