Unit Rate and Proportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

Define constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It is the ratio of one quantity to another when the two quantities are directly proportional.

Front

How do you determine if a table represents a constant rate of change?

Back

A table represents a constant rate of change if the ratio of the change in the dependent variable to the change in the independent variable is the same for all pairs of values.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate, meaning they increase or decrease together at the same rate.

Front

Back

Front

What is the formula to find the constant of proportionality (k)?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If k = 6, what does this imply about the relationship between the two quantities?

Back

If k = 6, it implies that for every 1 unit increase in the independent variable, the dependent variable increases by 6 units.

Front

What is the significance of a negative constant of proportionality?

Back

A negative constant of proportionality indicates an inverse relationship between the two quantities, meaning as one quantity increases, the other decreases.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight, indicating a constant rate of change.

Front

What is the relationship between unit rates and slope in a graph?

Back

The unit rate corresponds to the slope of the line in a graph, representing the change in the dependent variable for each unit change in the independent variable.