Linear/Proportional/Non 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 does it mean if a table is proportional?

Back

A table is proportional if the ratios of the values in the table are constant.

Front

How do you find the constant of proportionality?

Back

The constant of proportionality (k) can be found by dividing one quantity by the other in a proportional relationship.

Front

What is the constant of proportionality if y = 40x?

Back

k = 40.

Front

What is a non-proportional relationship?

Back

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

Front

What does it mean for a graph to model a proportional relationship?

Back

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

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line must pass through the origin, indicating that when one quantity is zero, the other is also zero.

Front

Which line represents a proportional relationship: Line L or Line M?

Back

Line L represents a proportional relationship.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is equal to the constant of proportionality.

Front

How can you tell if a function is proportional from its equation?

Back

A function is proportional if it can be expressed in the form y = kx, where k is a constant.