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 (y/x) are the same for all pairs.

Front

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

Back

A non-proportional table means that the ratios of the corresponding values are not constant.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.

Front

If y = 3x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because the ratio of y to x is constant (3).

Front

What does the graph of a proportional relationship look like?

Back

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

Front

If a table shows the values (1,2), (2,4), (3,6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is always 2.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = x + 2, where the ratio of y to x changes.

Front

How do you write an equation from a proportional table?

Back

To write an equation from a proportional table, find the constant ratio (k) and express it as y = kx.