Proportional Relationships in 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

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Tags

CCSS.7.RP.A.2B

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, their ratio is not constant, meaning that as one quantity changes, the other does not change in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

If the constant of proportionality is 1/2, what is the relationship between x and y?

Back

The relationship is y = (1/2)x.

Tags

CCSS.7.RP.A.2B

Front

In the equation y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Tags

CCSS.7.RP.A.2B

Front

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