Proportional and Nonproportional Tables-Honors

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 table?

Back

A proportional table will have values that maintain a constant ratio when one quantity is divided by the other.

Front

What does it mean if a table is nonproportional?

Back

A nonproportional table does not maintain a constant ratio between the quantities.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (y/x = 2).

Front

What is the constant of proportionality?

Back

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

Front

If Mason sends 15 text messages each day, is this proportional?

Back

Yes, it is proportional because the number of messages sent is consistent each day.

Front

What is an example of a nonproportional relationship?

Back

An example of a nonproportional relationship is a table showing values like (1, 2), (2, 4), (3, 7), where the ratio changes.

Front

How do you determine if a relationship is proportional from a graph?

Back

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

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

Can a proportional relationship have a zero value?

Back

Yes, a proportional relationship can have a zero value, as long as both quantities are zero (0,0).