Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant for all pairs of values in a proportional relationship.

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. If the ratio is the same for all pairs, that ratio is the constant of proportionality.

Tags

CCSS.7.RP.A.2B

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation, indicating how much 'y' changes for a unit change in 'x'.

Tags

CCSS.7.RP.A.2C

Front

What is the constant of proportionality if the table shows (2, 10) and (4, 20)?

Back

The constant of proportionality is 5, since 10/2 = 5 and 20/4 = 5.

Tags

CCSS.7.RP.A.2B

Front

Is the relationship between (3, 12) and (6, 24) proportional?

Back

Yes, the relationship is proportional because 12/3 = 4 and 24/6 = 4, indicating a constant of proportionality of 4.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality for the graph that passes through (1, 5) and (2, 10)?

Back

The constant of proportionality is 5, as the ratio of y to x is constant (5/1 = 5 and 10/2 = 5).

Tags

CCSS.7.RP.A.2B

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 for all pairs.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality for the equation y = 3x?

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

If a graph shows points (0,0), (2,8), and (4,16), what is the constant of proportionality?

Back

The constant of proportionality is 4, since 8/2 = 4 and 16/4 = 4.

Tags

CCSS.7.RP.A.2B