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

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

True or False: A graph that does not pass through the origin can still represent a proportional relationship.

Back

False.

Front

What does it mean if the rates of change are constant?

Back

It means that the ratio between the two quantities remains the same throughout the relationship.

Front

What does it mean if the rates of change are variable?

Back

It means that the ratio between the two quantities changes at different points in the relationship.

Front

Write the equation for a proportional relationship where y is 3 times x.

Back

y = 3x.

Front

Write the equation for a proportional relationship where y is half of x.

Back

y = 1/2x.

Front

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

Back

The constant of proportionality is 4.

Front

If y = 1/5x, what is the constant of proportionality?

Back

The constant of proportionality is 1/5.

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the factor by which one quantity is multiplied to obtain the other quantity.