Proportional Relationship/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 represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the 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 a table has the values (2, 4), (3, 6), and (4, 8), is it proportional?

Back

Yes, the table is proportional because the ratio of y to x is always 2.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not equal.

Front

Given the table: (1, 3), (2, 6), (3, 9), what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

Which of the following tables shows a proportional relationship? A: (1, 2), (2, 4), (3, 6) B: (1, 3), (2, 5), (3, 7)

Back

Table A shows a proportional relationship.

Front

If the constant of proportionality is 5, what would be the value of y when x = 4?

Back

y = 5 * 4 = 20.

Front

What is the ratio of y to x in a proportional relationship?

Back

The ratio of y to x is equal to the constant of proportionality.

Front

If a table shows the values (1, 2), (2, 4), (3, 8), is it proportional?

Back

No, it is not proportional because the ratios are not constant.