Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you find the unit rate from a total?

Back

Divide the total quantity by the number of units to find the unit rate.

Front

What does the ordered pair (x, y) represent in a proportional relationship?

Back

It represents the relationship between two quantities, where x is the independent variable and y is the dependent variable.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

How can you tell if a graph represents a proportional relationship?

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 is typically in the form y = kx, where k is the constant of proportionality.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the unit rate of flour to sugar?

Back

The unit rate is 2/3 cups of flour per cup of sugar.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.

Front

How do you identify the constant of proportionality from a table of values?

Back

Divide the y-value by the corresponding x-value for any pair of values; if the result is the same for all pairs, that value is the constant of proportionality.