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

Front

If the table shows (4, 5) and (8, 10), what is the Constant of Proportionality?

Back

0.8, because 5/4 = 1.25 and 10/8 = 1.25.

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 consistent ratio.

Front

In the table (2, 4), (3, 6), what is the Constant of Proportionality?

Back

2, because 4/2 = 2 and 6/3 = 2.

Front

What is the Constant of Proportionality for the table (1, 2), (2, 4), (3, 6)?

Back

2, because all pairs maintain the ratio of 2.

Front

If a table has values (5, 10), (10, 20), what is the Constant of Proportionality?

Back

2, because 10/5 = 2 and 20/10 = 2.

Front

What is the Constant of Proportionality for the table (3, 9), (4, 12)?

Back

3, because 9/3 = 3 and 12/4 = 3.

Front

If the Constant of Proportionality is 5, what does that imply about the relationship between x and y?

Back

For every increase in x, y increases by 5 times that amount.

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.