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

Define unit rate.

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one per one unit of another quantity.

Front

How do you find the unit rate from a given total?

Back

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

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratio between the two quantities remains constant across all pairs of values.

Front

If a job pays $56 for 8 hours of work, how much does it pay per hour?

Back

$7 per hour.

Front

What is the equation for the price of rope sold by the meter if p=0.8L?

Back

The price p (in dollars) is equal to 0.8 times the length L (in meters). For example, if L = 1, then p = 0.8.

Front

How do you determine if a relationship is proportional using a graph?

Back

A relationship is proportional if the graph of the relationship is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as k in the equation y = kx.

Front

If 2 tbsp of honey is needed for 10 cups of flour, how much is needed for 20 cups?

Back

16 tbsp of honey.

Front

What is the formula to find the price per unit?

Back

Price per unit = Total price ÷ Number of units.