Representing 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 can 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 COP stand for in proportional relationships?

Back

COP stands for Constant of Proportionality, which is the constant ratio between two proportional quantities.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values 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

If the constant of proportionality is 9, what is the unit rate?

Back

The unit rate is also 9, as the constant of proportionality and unit rate are equivalent in proportional relationships.

Front

What does it mean if a table is non-proportional?

Back

A table is non-proportional if the ratios of the quantities are not constant.

Front

What is an ordered pair in the context of proportional relationships?

Back

An ordered pair is a pair of numbers that represent a point on a graph, typically written as (x, y).

Front

How can you tell if a relationship is proportional from a set of ordered pairs?

Back

A relationship is proportional if the ratio of y to x is the same for all ordered pairs.

Front

What is the relationship between unit rate and constant of proportionality?

Back

The unit rate is equal to the constant of proportionality in a proportional relationship.