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

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant and if it passes through the origin.

Front

What does it mean for a unit rate to be constant?

Back

A constant unit rate means that for every unit increase in one quantity, there is a consistent increase in the other quantity.

Front

Write the equation for a proportional relationship given the constant of proportionality k = 4.

Back

y = 4x.

Front

If Jacob mixed 8 cups of flour with 2 cups of water, what is the constant of proportionality?

Back

The constant of proportionality is 4, since 8/2 = 4.

Front

What is the unit rate in the context of Sherry buying oranges?

Back

The unit rate is the cost per pound of oranges, which is $4.5 per pound.

Front

How can you tell if a relationship is not proportional?

Back

A relationship is not proportional if the ratios are not constant or if it does not pass through the origin.

Front

If a table shows values (1, 3), (2, 6), (3, 9), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (3 in this case).

Front

What is the equation for a proportional relationship if the unit rate is 0.33?

Back

y = 0.33x.