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

Back

The slope represents the constant rate of change between the two quantities.

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality, which is the ratio of y to x.

Front

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

Back

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

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 calculate the unit rate from a proportional relationship?

Back

Divide the value of the dependent variable by the value of the independent variable.

Front

What is an example of a real-world proportional relationship?

Back

The relationship between distance and time when traveling at a constant speed.

Front

How can tables be used to represent proportional relationships?

Back

Tables can show pairs of values that maintain a constant ratio, indicating a proportional relationship.

Front

What is the significance of the origin in a proportional relationship?

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.