Constant of Proportionality: tables, equations, graphs

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in a proportional relationship, often represented as y = kx.

Tags

CCSS.7.RP.A.2B

Front

Is this table proportional? (Example: 1, 2; 2, 4; 3, 6)

Back

Yes, this table is proportional because the ratio of y to x is constant.

Tags

CCSS.7.RP.A.2A

Front

What equation do we use to represent proportional relationships?

Back

y = kx

Tags

CCSS.7.RP.A.2C

Front

Match the correct equation to the graph: (Graph showing a line through the origin with a slope of 5)

Back

y = 5x

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Which equation matches the graph? (Graph showing a line through the origin with a slope of 8)

Back

y = 8x

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

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

Back

The constant of proportionality is 4.

Tags

CCSS.7.RP.A.2B

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratio of y to x is the same for all pairs of values, the table represents a proportional relationship.

Tags

CCSS.7.RP.A.2A

Front

What is the slope of the line represented by the equation y = 10x?

Back

The slope is 10, which is also the constant of proportionality.

Tags

CCSS.8.EE.B.5

Front

If the constant of proportionality is 6, what is the value of y when x = 3?

Back

y = 6 * 3 = 18.

Tags

CCSS.7.RP.A.2B