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 table?

Back

A proportional relationship can be identified in a table if the ratios of the corresponding values are the same.

Front

What does the equation y = kx represent in proportional relationships?

Back

In the equation y = kx, k is the constant of proportionality, which represents the ratio between y and x.

Front

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

Back

You can determine which of two proportional relationships is greater by comparing their constants of proportionality (k values). The larger k value indicates a greater relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot the points that represent the quantities and draw a straight line through the origin (0,0).

Front

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

Back

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

Front

If y = 20x, what is the constant of proportionality?

Back

The constant of proportionality is 20.

Front

How do you convert a rate into a unit rate?

Back

To convert a rate into a unit rate, divide both quantities by the same value to find the amount per one unit of the second quantity.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit.