Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when they are directly proportional.

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

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

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values.

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 as x increases, y increases at a faster rate.

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 as x increases, y increases at a slower rate.

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

What is the constant of proportionality if y = 6 when x = 1?

Back

The constant of proportionality is 6.

Front

If y = 38 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 38.

Front

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

Back

The constant of proportionality is the slope of the line in a graph of y versus x.