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 do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the cross product of the ratios 21/30 and 56/80?

Back

The cross products are 21 * 80 = 1680 and 30 * 56 = 1680, which are equal, so the ratios are proportional.

Front

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

Back

It means that the ratios of the quantities in the table are not constant.

Front

What is an example of a proportional relationship in a table?

Back

A table showing the relationship between the number of hours worked and money earned at a constant rate (e.g., 2 hours = $20, 4 hours = $40).

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

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

Back

Yes, they are proportional because their cross products are equal (8 * 35 = 280 and 10 * 28 = 280).

Front

What does a graph representing a proportional relationship look like?

Back

A graph representing a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

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

Back

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