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

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How do you find the unit rate in a proportional relationship?

Back

The unit rate is found by dividing the first quantity by the second quantity, giving the amount of the first quantity per one unit of the second quantity.

Front

What is the formula for finding a missing value in a proportional relationship?

Back

If a:b = c:d, then ad = bc. You can cross-multiply to find the missing value.

Front

What is the significance of the origin in a graph of a proportional relationship?

Back

A proportional relationship graph passes through the origin (0,0), indicating that when one quantity is zero, the other quantity is also zero.

Front

If a recipe calls for 2 cups of sugar for every 3 cups of flour, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar (because 3 cups of flour corresponds to 2 cups of sugar, so 9 cups of flour corresponds to 6 cups of sugar).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you determine if a set of ratios is proportional?

Back

You can determine if a set of ratios is proportional by cross-multiplying and checking if the products are equal.

Front

What is an example of a real-world proportional relationship?

Back

An example is the relationship between distance and time when traveling at a constant speed, such as 60 miles per hour.

Front

What does it mean if a graph does not represent a proportional relationship?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship, indicating that there is a fixed starting value.