Identifying 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 is constant.

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities.

Front

How can you identify a proportional relationship from a table?

Back

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

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 k = 40 pages per day, what does this mean?

Back

It means that for every day, 40 pages are read, indicating a direct proportionality between days and pages.

Front

What does it mean if a graph does not have a constant of proportionality?

Back

It means that the relationship between the variables is not proportional, and the ratios are not constant.

Front

In the equation r = 3/14f, what does 'f' represent?

Back

'f' represents the independent variable in the proportional relationship.

Front

What is the significance of the origin in a proportional relationship graph?

Back

In a proportional relationship graph, the origin (0,0) indicates that when one quantity is zero, the other quantity is also zero.

Front

How do you determine if a table is proportional?

Back

To determine if a table is proportional, check if the ratios of the values in the table are the same.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.