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 a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What is the unit rate?

Back

The unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Front

What is the equation form of a proportional relationship?

Back

A proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

If you travel 150 miles on 5 gallons, what is the unit rate in miles per gallon?

Back

30 miles per gallon.

Front

Which of the following equations represents a proportional relationship: y = 3x or y = 5x - 7?

Back

y = 3x represents a proportional relationship.

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio of the two quantities in a proportional relationship.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, it is a proportional relationship because the ratio of flour to sugar is constant.

Front

What is the difference between a ratio and a proportion?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.

Front

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

Back

The constant of proportionality can be found by determining the slope of the line representing the proportional relationship.