Unit Rates & 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 expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the constant rate of change from a graph?

Back

To find the constant rate of change, select two points on the graph, calculate the change in the y-values (rise) and the change in the x-values (run), and then divide the rise by the run.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so at a consistent rate.

Front

If a graph shows a straight line through the origin, what can you conclude?

Back

If a graph shows a straight line through the origin, it indicates a proportional relationship between the two quantities.

Front

What is the formula for calculating the rate of change?

Back

The formula for calculating the rate of change is: Rate of Change = (Change in y) / (Change in x).

Front

What is an example of a unit rate in real life?

Back

An example of a unit rate is the speed of a car, such as 60 miles per hour.

Front

How can you determine if a set of ordered pairs represents a proportional relationship?

Back

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

Front

What is the significance of the slope in a graph?

Back

The slope of a graph represents the rate of change between the two variables plotted on the axes.

Front

If a table shows the relationship between hours worked and money earned, how do you find the constant rate of change?

Back

To find the constant rate of change, divide the total money earned by the total hours worked.

Front

What does a rate of change of 0 indicate on a graph?

Back

A rate of change of 0 indicates that there is no change in the y-value as the x-value changes, meaning the graph is horizontal.