Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in equations.

Tags

CCSS.7.RP.A.2B

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 change in x.

Tags

CCSS.7.RP.A.2C

Front

Calculate the constant of proportionality if y = 30 when x = 6.

Back

k = y/x = 30/6 = 5.

Tags

CCSS.7.RP.A.2B

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality for speed?

Back

The constant of proportionality (speed) is 45 mph.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between proportionality and linear equations?

Back

Proportionality indicates a linear relationship where the ratio of y to x is constant.

Tags

CCSS.8.EE.B.5

Front

Identify the constant of proportionality in the equation y = 3x.

Back

k = 3.

Tags

CCSS.7.RP.A.2B

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

102 words per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

In the equation y = ½x, what is the constant of proportionality?

Back

1/2.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity changes, the other quantity changes at a constant rate.

Tags

CCSS.7.RP.A.2A

Front

If the constant of proportionality is 5, what is the value of y when x = 10?

Back

y = kx = 5 * 10 = 50.

Tags

CCSS.7.RP.A.2B