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

How do you find the constant of proportionality (COP)?

Back

The constant of proportionality (COP) can be found using the formula COP (k) = y/x, where y is the dependent variable and x is the independent variable.

Front

If Jane mixes 3 lemons with 2 cups of water for 2 drinks, how many lemons and cups of water does she need for 6 drinks?

Back

9 lemons and 6 cups of water.

Front

Samantha uses 8 ounces of powder for 32 ounces of water. How much water is needed for 128 ounces of powder?

Back

512 ounces of water.

Front

Write the equation for the proportional relationship where y is three times x.

Back

y = 3x.

Front

If Carley needs 3 liters of soda for every 12 guests, how much soda does she need for 48 guests?

Back

12 liters of soda.

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If the ratio of lemons to cups of water is 3:2, what is the ratio of cups of water to lemons?

Back

The ratio of cups of water to lemons is 2:3.

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratios of the corresponding values are constant, then the table represents a proportional relationship.