Identify Proportional Relationships and Constants

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 do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

If y is directly proportional to x, what does this mean?

Back

It means that as x increases, y increases at a constant rate.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

If a table shows values of x and y, how can you tell if they are proportional?

Back

Check if the ratio y/x is the same for all pairs of values.

Front

What happens to the constant of proportionality if both x and y are multiplied by the same number?

Back

The constant of proportionality remains the same.

Front

In Jane's lemonade recipe, if she uses 6 cups of water, how many lemons does she need?

Back

9 lemons.

Front

What does it mean if a table does not represent a proportional relationship?

Back

It means that the ratios of the values are not constant.

Front

If the constant of proportionality is 40, what does this imply about the relationship?

Back

For every unit increase in x, y increases by 40.