Constant of Proportionality

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.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin.

Front

If 10 hours of work earns $200, what is the constant of proportionality?

Back

The constant of proportionality is $20 per hour.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a quantity per one unit of the independent variable.

Front

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

Back

If the ratios of corresponding values are constant, the table represents a proportional relationship.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

If the constant of proportionality is k = 30, what does this imply?

Back

It implies that for every 1 unit of the independent variable, the dependent variable increases by 30 units.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional graph, the slope of the line is equal to the constant of proportionality.

Front

If a car travels 60 miles in 1 hour, what is the constant of proportionality?

Back

The constant of proportionality is 60 miles per hour.