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 is constant.

Front

How can you identify 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 unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

If a recipe calls for 1/4 cup of sugar for every 1 cup of flour, how much sugar is needed for 2 cups of flour?

Back

1/2 cup of sugar.

Front

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

Back

In a proportional relationship, (x, y) represents the quantities where y is proportional to x.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

If 5 apples cost $3, what is the cost of 20 apples?

Back

$12.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

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

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values.

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.