Proportionality in a Table and In a Graph

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 in a graph?

Back

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

Front

What does the point (0,0) represent in a proportional relationship?

Back

The point (0,0) represents that when there are zero units of one quantity, there are also zero units of the other quantity.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How do you find the unit rate from a table of values?

Back

To find the unit rate, divide the value of the first quantity by the value of the second quantity.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between the two quantities in a proportional relationship.

Front

If y = 12x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because it can be expressed in the form y = kx.

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant of proportionality.

Front

How do you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.