Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two variables that are directly proportional to each other.

Front

If y is directly proportional to x, what is the equation that represents this relationship?

Back

y = kx, where k is the constant of proportionality.

Front

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

Back

It means that as one variable increases, the other variable increases at a rate faster than 1.

Front

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

Back

It means that as one variable increases, the other variable increases at a rate slower than 1.

Front

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

Back

y = 5 * 3 = 15.

Front

If the constant of proportionality is 1/4, what is the value of y when x = 8?

Back

y = (1/4) * 8 = 2.

Front

How can you find the constant of proportionality from a table of values?

Back

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

Front

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

Back

k = y/x = 10/2 = 5.

Front

If y = 3 when x = 9, what is the constant of proportionality?

Back

k = y/x = 3/9 = 1/3.

Front

What is the constant of proportionality in the equation y = 8x?

Back

The constant of proportionality is 8.