Proportionality (Graphs & Tables)

Front

What is proportionality?

Back

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

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

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

Back

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

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 that the relationship is not proportional.

Front

What is the significance of a straight line in a graph?

Back

A straight line in a graph indicates a linear relationship, which can be proportional if it also passes through the origin.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items and total cost when there is a fixed fee added.

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of y to x.

Front

What happens to the graph of a proportional relationship if the constant of proportionality increases?

Back

If the constant of proportionality increases, the slope of the graph becomes steeper.