Proportionality Graphs, Tables, and Equations

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

What does a proportional relationship mean?

Back

A proportional relationship means that two quantities increase or decrease at the same rate, and can be represented by a straight line through the origin on a graph.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of y to x in a proportional relationship, represented by the letter k.

Front

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

Back

The point (0, 0) represents the origin, indicating that when there is no input (x=0), the output (y) is also zero.

Front

How can you determine if a graph is proportional?

Back

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

Front

What is a direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate from a ratio, divide the first quantity by the second quantity to express it as a quantity per one unit of the second quantity.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the equation y = 2x + 3, which does not pass through the origin.

Front

What is the unit rate of 3/4 cup of brown sugar for every 3 eggs?

Back

The unit rate is 4 eggs per cup.