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 find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you have 405 rotations in 5 minutes, divide 405 by 5 to get 81 rotations per minute.

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratios of the quantities are constant and it passes through the origin (0,0).

Front

What is the unit rate of 150 miles in 5 gallons?

Back

30 miles per gallon.

Front

If a job pays $56 for 8 hours, what is the pay per hour?

Back

$7 per hour.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the unit rate changes, such as a table showing different amounts of apples and trees that do not maintain a constant ratio.

Front

How can you tell if a relationship is proportional from a graph?

Back

A proportional relationship will show a straight line that passes through the origin.

Front

What is the unit rate of 405 rotations in 5 minutes?

Back

81 rotations per minute.

Front

If a table shows 2 apples for every 1 tree, is it proportional?

Back

Yes, because the ratio (2:1) is constant.