Proportional Relationships in Tables, Graphs, and Equations

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 quantity is constant.

Tags

CCSS.7.RP.A.2A

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of the corresponding values in each row are the same.

Tags

CCSS.7.RP.A.2D

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k'.

Tags

CCSS.7.RP.A.2B

Front

How can you determine the constant of proportionality from a graph?

Back

To determine the constant of proportionality from a graph, find the slope of the line, which represents the ratio of the change in the dependent variable to the change in the independent variable.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the slope in a proportional relationship?

Back

The slope in a proportional relationship indicates the rate of change between the two quantities and is equal to the constant of proportionality.

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CCSS.7.RP.A.2D

Front

Can a graph represent a proportional relationship if it is not a straight line through the origin?

Back

No, a graph must be a straight line that passes through the origin to represent a proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

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

Back

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

Tags

CCSS.7.RP.A.2A

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What is the relationship between rates of change and proportional relationships?

Back

In proportional relationships, the rates of change are constant, meaning that for every unit increase in one quantity, there is a consistent increase in the other quantity.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a set of data points represents a proportional relationship?

Back

You can tell if a set of data points represents a proportional relationship by checking if the ratios of the y-values to the x-values are constant.

Tags

CCSS.7.RP.A.2D