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 unit rate?

Back

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

Front

What does it mean if a table is proportional?

Back

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

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

If 28 concrete blocks weigh 'w' pounds, what is the equation relating the number of blocks 'b' to the weight 'w'?

Back

The equation is 28b = w.

Front

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

Back

81 rotations per minute.

Front

How can you determine if a relationship is not proportional?

Back

A relationship is not proportional if the unit rate is not constant or if it does not pass through the origin.

Front

What is an example of a proportional relationship?

Back

An example is if 2 apples cost $1, then 4 apples cost $2, maintaining a constant ratio of cost to quantity.

Front

What does it mean for a table to not be proportional?

Back

It means that the ratios of the values do not remain constant across the table.

Front

If a table shows the number of trees and apples, how can you check for proportionality?

Back

Calculate the ratio of apples to trees for each entry; if the ratios are not the same, the table is not proportional.