Constant of Proportionality and Tables

Front

What is the Constant of Proportionality?

Back

It is the number that stays the same or equal because the given values are proportional.

Front

How do you find the Constant of Proportionality in a table?

Back

Divide the output value by the input value for any pair of corresponding values.

Front

If the input is 3 and the output is 12, what is the Constant of Proportionality?

Back

0.25 (because 3 ÷ 12 = 0.25).

Front

If the input is 4 and the output is 16, what is the Constant of Proportionality?

Back

4 (because 4 x 4 = 16).

Front

What does it mean if a table is proportional?

Back

It means that the ratio of the output to the input is constant.

Front

Which of the following shows a proportional relationship: (1, 2), (2, 4), (3, 6)?

Back

Yes, the relationship is proportional because each output is double the input.

Front

What is an example of a non-proportional relationship?

Back

(1, 2), (2, 5), (3, 8) - the ratios are not constant.

Front

What is the Constant of Proportionality for the table: (1, 3), (2, 6), (3, 9)?

Back

3 (because 3 ÷ 1 = 3, 6 ÷ 2 = 3, 9 ÷ 3 = 3).

Front

If the Constant of Proportionality is 5, what is the output when the input is 4?

Back

20 (because 5 x 4 = 20).

Front

What is the formula to find the Constant of Proportionality?

Back

k = y/x, where k is the constant, y is the output, and x is the input.