Comparing 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 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

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

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality (k).

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How can you determine which of two proportional relationships is greater?

Back

You can compare the constants of proportionality (slopes) of the two relationships; the one with the larger constant is greater.

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it means that the relationship between the two quantities does not maintain a constant ratio.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the value of the constant of proportionality when one quantity is equal to one unit.

Front

How do you write an equation from a table of values showing a proportional relationship?

Back

Identify the constant ratio between the two quantities and express it in the form y = kx.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.