Proportional vs 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 quantity 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

If y = kx, what does k represent in a proportional relationship?

Back

k represents the constant of proportionality, which is the ratio of y to x.

Front

What is the slope of a line in a proportional relationship?

Back

The slope is constant and represents the rate of change between the two variables.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What does it mean if a relationship is described as 'linear'?

Back

A linear relationship means that the relationship can be represented by a straight line on a graph.

Front

What is an example of a proportional relationship in real life?

Back

An example is the cost of apples if they are sold at a constant price per pound.

Front

What is an example of a non-proportional relationship in real life?

Back

An example is a cell phone plan that has a fixed monthly fee plus additional charges.

Front

If a pool drains at a rate of 70 gallons per hour, is this proportional?

Back

Yes, it is proportional because the amount of water drained is directly related to time.

Front

What is the equation of a proportional relationship?

Back

The equation is typically in the form y = kx, where k is a constant.