Graphs of Proportional Relationships

Front

What does the coordinate (1,6) represent in a graph of proportional relationships?

Back

It indicates that it takes a sloth 1 minute to move 6 feet.

Tags

CCSS.7.RP.A.2D

Front

What is the meaning of the constant of proportionality in a proportional relationship?

Back

It is the ratio between the two quantities, indicating how much one quantity changes in relation to another.

Tags

CCSS.7.RP.A.2B

Front

How can you determine the constant of proportionality from a table of values?

Back

By dividing the value of y by the value of x for any pair of corresponding values.

Tags

CCSS.7.RP.A.2B

Front

What is a unit rate?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a proportional relationship look like on a graph?

Back

It appears as a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the slope in a graph of proportional relationships?

Back

The slope represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

How do you identify a proportional relationship from a set of data points?

Back

If the ratio of y to x is constant for all pairs of data points, then the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Tags

CCSS.7.RP.A.2B

Front

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

Back

It indicates that the relationship is not proportional.

Tags

CCSS.7.RP.A.2D

Front

How can you verify if a relationship is proportional using a graph?

Back

Check if the line is straight and passes through the origin.

Tags

CCSS.7.RP.A.2D