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 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 are equal.

Front

What is the constant of proportionality?

Back

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

Front

If a table shows values (2, 4), (3, 6), (4, 8), does it show a proportional relationship?

Back

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

Front

If a table shows values (1, 2), (2, 5), (3, 7), does it show a proportional relationship?

Back

No, because the ratios are not constant.

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratio of the two quantities changes and is not consistent.

Front

How do you calculate the constant of proportionality from a proportional relationship?

Back

Divide the dependent variable by the independent variable (y/x).

Front

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

Back

The relationship between distance and time when traveling at a constant speed.

Front

If the constant of proportionality is 100, what does that mean?

Back

It means for every unit increase in the independent variable, the dependent variable increases by 100 units.

Front

Can a graph show a proportional relationship?

Back

Yes, a graph of a proportional relationship is a straight line that passes through the origin.