Non Proportional Relationships

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio of one quantity to another is not constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the total time or number of items. For example, 405 rotations in 5 minutes gives a unit rate of 81 rotations per minute.

Front

What does a slope represent in a graph?

Back

The slope represents the rate of change between the two variables on the graph. It indicates how much one variable changes in relation to another.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

How can you tell if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it 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 value (k) that relates two proportional quantities.

Front

What does it mean if a relationship is described as 'not proportional'?

Back

If a relationship is described as 'not proportional', it means that the ratio of the two quantities does not remain constant.

Front

How do you write an equation for a non-proportional relationship?

Back

An equation for a non-proportional relationship can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of y when x is zero.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a situation where a repairman charges a base fee plus an hourly rate, such as y = 40x + 75.