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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

Front

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

Back

$18

Tags

CCSS.6.RP.A.3B

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.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Amount / Number of Units.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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).

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D