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 find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if a job pays $56 for 8 hours, the unit rate is $56 ÷ 8 = $7 per hour.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a straight line, indicating a constant ratio between the two variables.

Front

What is the definition of a constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented by 'k' in the equation y = kx.

Front

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

Back

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

Front

What does the ordered pair (20, 3000) represent in a proportional relationship?

Back

The ordered pair (20, 3000) represents that a machine folds 3,000 sheets in 20 minutes.

Front

What does the point (2, 94) represent in a savings context?

Back

The point (2, 94) represents that after 2 weeks, they save $94.

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a graph that does not pass through the origin or shows a curved line.

Front

How do you determine if two ratios are proportional?

Back

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