proportional relationships

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 of values?

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values in the table.

Tags

CCSS.7.RP.A.2B

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, representing how much of one quantity corresponds to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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 the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x with k as the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Tags

CCSS.7.RP.A.2D

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are specific examples of proportional relationships where one of the quantities is normalized to one.

Tags

CCSS.7.RP.A.2D

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Tags

CCSS.7.RP.A.2B

Front

What is the formula to calculate the constant of proportionality?

Back

The formula to calculate the constant of proportionality is k = y/x.

Tags

CCSS.7.RP.A.2B