Tables, Graphs, & Equations of Proportional Relationships

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 is constant.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the values in the table are constant and the table passes through the origin (0,0).

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 of one per one unit of another quantity.

Front

How can you determine if a table represents a proportional relationship?

Back

Check if the ratios of the values are constant and if the table includes the point (0,0).

Front

What is the formula for calculating the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a table shows the number of apples and trees, how can you tell if it is proportional?

Back

Calculate the ratio of apples to trees for each entry; if the ratio is the same for all entries, it is proportional.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

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

Back

The rate of change is found by determining the slope of the line, which is the change in the y-values divided by the change in the x-values.

Front

What is the significance of a constant unit rate in a proportional relationship?

Back

A constant unit rate indicates that for every unit increase in one quantity, there is a consistent increase in the other quantity.

Front

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

Back

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