Constant of Proportionality (Tables)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

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

Back

To identify the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values. If the ratio is constant, that value is the constant of proportionality.

Tags

CCSS.7.RP.A.2B

Front

What is the equation format for proportional relationships?

Back

The equation format for proportional relationships is y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

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

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

If y = 0.5x, what is the constant of proportionality?

Back

The constant of proportionality is 0.5.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it means that y increases faster than x.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if the constant of proportionality is less than 1?

Back

If the constant of proportionality is less than 1, it means that y increases slower than x.

Tags

CCSS.7.RP.A.2D

Front

In the equation y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality, which is the ratio of y to x.

Tags

CCSS.7.RP.A.2C

Front

How can you express a proportional relationship using a graph?

Back

A proportional relationship can be expressed using a graph as a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality if y = 10 when x = 2?

Back

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

Tags

CCSS.7.RP.A.2B