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 quantity is constant.

Front

How do you find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the other (y/x).

Front

If 4 pounds of grapes cost $24.36, what is the constant of proportionality?

Back

6.09 (calculated as 24.36 / 4).

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratio of the values in one column to the values in another column is constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

Which equation represents a proportional relationship: y = 8x or y = 3x + 2?

Back

y = 8x (because it passes through the origin).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not have a constant ratio between two quantities.

Front

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

Back

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

Front

What is the constant of proportionality if the cost of potato salad is modeled by c = 3.5p?

Back

3.5 (the constant of proportionality is the coefficient of p).

Front

If a graph is non-proportional, what might it look like?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.