Proportional or non-proportional

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

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

How can you identify a non-proportional relationship from a graph?

Back

In a non-proportional relationship, the graph does not pass through the origin or is not a straight line.

Front

What is an example of a proportional relationship?

Back

If a car travels at a constant speed of 60 miles per hour, the distance traveled is proportional to the time spent driving.

Front

What is an example of a non-proportional relationship?

Back

If a carpet cleaning company charges $40 for the first room and $25 for each additional room, the total fee is non-proportional.

Front

What does it mean if an equation represents a proportional relationship?

Back

It means that the equation can be expressed in the form y = kx, where k is a constant.

Front

What does it mean if an equation represents a non-proportional relationship?

Back

It means that the equation cannot be expressed in the form y = kx and may include a constant term.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities.

Front

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

Back

Divide the value of one quantity by the corresponding value of the other quantity for any pair of values.