Comparing 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 do you determine if a relationship is proportional?

Back

A relationship is proportional if it has a constant unit rate or slope and passes through the origin (0,0).

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 per one unit of another quantity.

Front

Calculate the unit rate of $97.50 for 15 pizzas.

Back

$6.50 per pizza.

Front

What does it mean if a graph does not pass through (0,0)?

Back

If a graph does not pass through (0,0), it indicates that the relationship is not proportional.

Front

What is the unit rate of 60 miles in 2 hours?

Back

30 miles per hour.

Front

If Samantha drives at 30 mph and Tracy drives at 60 miles every 2 hours, who drives faster?

Back

They drive the same speed per hour.

Front

Which table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of the quantities are constant.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is the constant rate of change between the two quantities.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio of the quantities changes, such as a graph that is not a straight line.