Proportionality with Proportional Graphs and Tables

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases at a consistent rate.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

What does a non-proportional graph look like?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically written as y = kx, where k is the constant of proportionality.

Front

If Craig earns $37 for 4 hours, what is his rate per hour?

Back

To find the rate per hour, divide the total earnings by the number of hours: $37 / 4 hours = $9.25 per hour.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship, meaning the ratio of the quantities is not constant.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if it is a straight line that passes through the origin.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.