Proprtional and 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 the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities in the equation y = kx.

Front

Write the equation of a proportional relationship where k = 2.

Back

y = 2x

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

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

Back

A non-proportional relationship does not have a constant ratio between the two quantities, and the graph does not pass through the origin.

Front

If y = 4x, what is the constant of proportionality?

Back

k = 4

Front

Is the relationship between the number of hours worked and the amount earned proportional if you earn $10 per hour?

Back

Yes, it is proportional.

Front

Write an equation for a proportional relationship where the constant of proportionality is 1/2.

Back

y = 1/2x

Front

What is the graph of a proportional relationship like?

Back

The graph is a straight line that passes through the origin.

Front

If a relationship is represented by the equation y = 5x, what can you say about the relationship?

Back

It is a proportional relationship with a constant of proportionality k = 5.