Proportional Graphs

Front

What is a proportional graph?

Back

A proportional graph is a graph that shows a constant ratio between two variables, meaning that as one variable increases, the other variable increases at a consistent rate.

Front

What does it mean if a graph is nonproportional?

Back

A nonproportional graph does not maintain a constant ratio between the two variables, indicating that the relationship between them changes.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Front

What does the point (1, 12) represent in a canoe rental graph?

Back

The point (1, 12) means the company charges $12 for 1 hour of canoe rental.

Front

If a lawn mowing service charges $9 per hour, how much will it cost for 2 hours?

Back

$18

Front

What is the definition of a constant rate of change?

Back

A constant rate of change means that for every unit increase in one variable, there is a consistent increase in the other variable.

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Amount / Number of Units.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratio of y to x is constant (y/x = 2).

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) indicates that when one variable is zero, the other variable is also zero, which is a key characteristic of proportional relationships.

Front

How do you identify a nonproportional relationship from a table?

Back

A nonproportional relationship can be identified if the ratios of y to x are not constant.