Rates, Proportions, and Proportional Relationships

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units, such as miles per hour or cost per item.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you pay $15 for 6 gallons of gasoline, the unit rate is $15 ÷ 6 = $2.50 per gallon.

Front

What does it mean for two ratios to form a proportion?

Back

Two ratios form a proportion if they are equivalent, meaning they represent the same relationship between quantities.

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities increase or decrease at the same rate, resulting in a constant ratio.

Front

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

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

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

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning they do not increase or decrease at the same rate.

Front

How do you determine if a table of values represents a proportional relationship?

Back

To determine if a table represents a proportional relationship, check if the ratios of corresponding values are equivalent.

Front

What is an example of a real-life rate?

Back

An example of a real-life rate is speed, such as driving 60 miles in 1 hour, which can be expressed as 60 miles/hour.