Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It can be found by dividing one quantity by the other.

Tags

CCSS.7.RP.A.2B

Front

How do you identify if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities is constant. This can be checked using tables, graphs, or equations.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if the constant of proportionality is 'none'?

Back

If the constant of proportionality is 'none', it means that the relationship between the two quantities is not proportional.

Tags

CCSS.7.RP.A.2B

Front

If k = 8, what does this indicate about the relationship?

Back

If k = 8, it indicates that for every unit increase in one quantity, the other quantity increases by 8 times.

Tags

CCSS.5.OA.B.3

Front

What is the constant of proportionality in the equation y = 8x?

Back

In the equation y = 8x, the constant of proportionality is 8.

Tags

CCSS.7.RP.A.2B

Front

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

Back

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

Tags

CCSS.7.RP.A.2B

Front

What is the constant of proportionality for the points (2, 16) and (4, 32)?

Back

The constant of proportionality is 8, calculated as 16/2 or 32/4.

Tags

CCSS.7.RP.A.2B

Front

Which of the following shows a proportional relationship: (1, 2), (2, 4), (3, 6)?

Back

Yes, this shows a proportional relationship with a constant of proportionality of 2.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality if y = 1/4x?

Back

The constant of proportionality is 1/4.

Tags

CCSS.7.RP.A.2B

Front

If a table shows values (1, 3), (2, 6), (3, 9), is it proportional?

Back

Yes, it is proportional with a constant of proportionality of 3.

Tags

CCSS.7.RP.A.2B