Escape Room 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 = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, which is the ratio of y to x.

Front

What is the constant of proportionality when y = 12 and x = 1?

Back

The constant of proportionality is 12, since k = y/x = 12/1.

Front

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

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

Back

If the constant of proportionality is 5, then y = 5 * 3 = 15.

Front

What is the constant of proportionality if y = 1/2 and x = 1?

Back

The constant of proportionality is 1/2, since k = y/x = (1/2)/1.

Front

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

Back

The constant of proportionality is 38, since k = y/x = 38/1.

Front

What happens to the constant of proportionality if both x and y are multiplied by the same number?

Back

The constant of proportionality remains the same if both x and y are multiplied by the same number.

Front

If the constant of proportionality is 7.5, what is y when x = 2?

Back

If the constant of proportionality is 7.5, then y = 7.5 * 2 = 15.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the factor that relates the two variables, indicating how much one variable changes in relation to the other.