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

Write the equation of a proportional relationship where k = 3.

Back

y = 3x

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 graph is not proportional?

Back

If a graph is not proportional, it does not pass through the origin and the ratio between the two quantities is not constant.

Front

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

Back

k = 4

Front

If y = 1/2x, what is the constant of proportionality?

Back

k = 1/2

Front

Is the relationship y = 5x + 2 proportional?

Back

No, because it does not pass through the origin.

Front

What is the equation format for a proportional relationship?

Back

y = kx