Proportional Relationship/Tables

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 can be identified in a table if the ratios of corresponding values are equal.

Tags

CCSS.7.RP.A.2D

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What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio that relates two proportional quantities, often represented as k in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

If y = 9x, what is the constant of proportionality?

Back

The constant of proportionality is 9.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a table shows a constant ratio?

Back

It means that for every increase in one quantity, there is a consistent increase in the other quantity, maintaining the same ratio.

Front

How do you find the missing value in a proportional table?

Back

To find the missing value, set up a proportion using the known values and solve for the unknown.

Tags

CCSS.7.RP.A.2C

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What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Tags

CCSS.7.RP.A.2B

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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.

Tags

CCSS.7.RP.A.2A

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How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically as a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the origin in a proportional relationship graph?

Back

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

Tags

CCSS.7.RP.A.2D