Unit 4 Review - Proportional vs. Non-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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

How can you identify a non-proportional relationship from a graph?

Back

A graph represents a non-proportional relationship if it is a straight line that does not pass through the origin or if it is not a straight line.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If y = 16x, what is the constant of proportionality?

Back

The constant of proportionality is 16.

Front

Write an equation for a proportional relationship where the constant of proportionality is 9.75.

Back

y = 9.75x.

Front

Write an equation for a proportional relationship where the constant of proportionality is 19.25.

Back

y = 19.25x.

Front

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

Back

It means that the relationship between the two quantities does not maintain a constant ratio.

Front

If a table shows values (2, 4), (4, 8), (6, 12), is this proportional?

Back

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