Finding the Constant of Proportionality from Tables and Graphs

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant factor 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 find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one variable by the corresponding value of the other variable for any pair of values.

Tags

CCSS.7.RP.A.2B

Front

If y = kx, what does k represent?

Back

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

Tags

CCSS.7.RP.A.2B

Front

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

Back

k = 5, since 10/2 = 5 and 20/4 = 5.

Tags

CCSS.7.RP.A.2B

Front

What is the constant of proportionality for the graph where the line passes through (0,0) and (4,16)?

Back

k = 4, since 16/4 = 4.

Tags

CCSS.7.RP.A.2B

Front

If the constant of proportionality is k = 3, what is y when x = 5?

Back

y = 15, since y = kx = 3 * 5.

Tags

CCSS.7.RP.A.2B

Front

What does a graph with a slope of 2 indicate about the constant of proportionality?

Back

It indicates that the constant of proportionality k = 2, meaning for every unit increase in x, y increases by 2.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality if the values are (1, 8), (2, 16), (3, 24)?

Back

k = 8, since 8/1 = 8, 16/2 = 8, and 24/3 = 8.

Tags

CCSS.7.RP.A.2B

Front

If a table shows (5, 25) and (10, 50), what is the constant of proportionality?

Back

k = 5, since 25/5 = 5 and 50/10 = 5.

Tags

CCSS.7.RP.A.2B