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 a table shows values (1, 4), (2, 8), (3, 12), what is the Constant of Proportionality?

Back

4, because 4 x 1 = 4, 4 x 2 = 8, and 4 x 3 = 12.

Front

What does it mean if there is no Constant of Proportionality in a table?

Back

It means the values are not proportional and do not maintain a constant ratio.

Front

In the table (2, 6), (4, 12), (6, 18), what is the Constant of Proportionality?

Back

3, because 6 divided by 2 equals 3, 12 divided by 4 equals 3, and 18 divided by 6 equals 3.

Front

What is an example of a proportional relationship?

Back

If y = 3x, then for every increase in x, y increases by a constant factor of 3.

Front

If the Constant of Proportionality is 5, what would be the output when the input is 10?

Back

50, because 5 x 10 = 50.

Front

What is the relationship between the Constant of Proportionality and a graph of proportional values?

Back

In a graph, the Constant of Proportionality is the slope of the line that passes through the origin.

Front

If a table has values (1, 2), (2, 4), (3, 6), what is the Constant of Proportionality?

Back

2, because 2 x 1 = 2, 2 x 2 = 4, and 2 x 3 = 6.

Front

What happens to the Constant of Proportionality if the values are not proportional?

Back

The Constant of Proportionality cannot be determined as there is no consistent ratio.