(Sponge) Proportional Relationships: TABLES

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 can you tell if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of the corresponding values are the same.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) that relates two proportional quantities, often expressed as k = y/x.

Front

If y = 45 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 45.

Front

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

Back

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

Front

How do you find the constant of proportionality from a table?

Back

You can find the constant of proportionality by dividing the value of y by the value of x (k = y/x).

Front

Which of the following tables shows a proportional relationship?

Back

Look for a table where the ratios of y to x are the same for all pairs.

Front

If x = 3 and y = 15, what is the constant of proportionality?

Back

The constant of proportionality is 5 (k = y/x = 15/3).

Front

What is the formula to find the constant of proportionality?

Back

k = y/x.

Front

If a table has values (2, 10), (4, 20), and (6, 30), does it show a proportional relationship?

Back

Yes, because the ratios (y/x) are all equal to 5.