math 7: 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 is constant.

Front

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

Back

A table represents a proportional relationship if the ratios of the corresponding values are equivalent.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction or if their cross products are equal.

Front

Are the ratios 10/20 and 20/40 proportional?

Back

Yes, both ratios simplify to 1/2.

Front

Are the ratios 3/4 and 36/40 proportional?

Back

No, 3/4 simplifies to 3/4, while 36/40 simplifies to 9/10.

Front

Are the ratios 8/10 and 28/35 proportional?

Back

Yes, both ratios simplify to 4/5.

Front

What is the cross product of the ratios 10/20 and 20/40?

Back

The cross product is 10 * 40 = 400 and 20 * 20 = 400, so they are proportional.

Front

If a table shows values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, the ratios (2/4, 3/6, 4/8) all simplify to 1/2.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'.

Front

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

Back

Divide the output value by the input value for any pair of corresponding values.