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 determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the unit rate (the ratio of the two quantities) is constant for all pairs of values.

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: 405 rotations in 5 minutes.

Back

81 rotations per minute.

Front

Write the equation for the cost of oranges if 4 pounds cost $18.

Back

y = 4.5x, where y is the cost and x is the number of pounds.

Front

If Perry earned $96 for shoveling 8 driveways, how much would he earn for 6 driveways?

Back

$72.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the unit rate is not constant across the values.

Front

How do you find the total cost if you know the unit rate?

Back

Multiply the unit rate by the number of units (e.g., pounds of oranges).

Front

If a sloth can move 30 feet in 5 minutes, what is its speed in feet per minute?

Back

6 feet per minute.

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Quantity / Total Time.