Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as the ratio of one quantity to another.

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

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

Front

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

Back

It means that as x increases, y increases at a rate faster than x.

Front

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

Back

It means that as x increases, y increases at a rate slower than x.

Front

If the constant of proportionality is 0, what does that indicate about the relationship between x and y?

Back

It indicates that y is always 0, regardless of the value of x.

Front

In a proportional relationship, if x = 4 and the constant of proportionality is 2, what is y?

Back

y = 2 * 4 = 8.

Front

In a proportional relationship, if y = 15 and the constant of proportionality is 3, what is x?

Back

x = y / k = 15 / 3 = 5.

Front

What is the constant of proportionality if y = 10 when x = 5?

Back

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

Front

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

Back

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