Proportional or NonProportional

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that two quantities maintain a constant ratio or rate. As one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship occurs when two quantities do not maintain a constant ratio. Changes in one quantity do not result in consistent changes in the other.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified on a graph by a straight line that passes through the origin (0,0).

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

What is the constant of proportionality?

Back

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

Front

Can a proportional relationship have a y-intercept other than zero?

Back

No, a proportional relationship must pass through the origin, meaning the y-intercept must be zero.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Front

How do you determine if a set of data points represents a proportional relationship?

Back

To determine if a set of data points represents a proportional relationship, check if the ratio of y to x is constant for all points.

Front

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

Back

In a proportional relationship, the slope of the line represents the constant of proportionality (k).