Constant of Proportionality Tables

Front

What is the constant of proportionality?

Back

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

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 y by the corresponding value of x for any pair of values.

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

What does a proportional relationship mean?

Back

A proportional relationship means that two quantities maintain a constant ratio to each other.

Front

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

Back

In the equation y = kx, k represents the constant of proportionality.

Front

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

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Front

What is the equation for a proportional relationship if the constant of proportionality is 9?

Back

The equation is y = 9x.

Front

If x = 3 and y = 15, what is the constant of proportionality?

Back

The constant of proportionality is 5, since 15/3 = 5.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

The constant of proportionality is equal to the slope of the line in a graph of a proportional relationship.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, since 6/2 = 3, 12/4 = 3, and 18/6 = 3.