Proportional Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you determine if a table is proportional?

Back

A table is proportional if the ratio of the values in one column to the values in another column is constant.

Front

What does it mean if a table has no constant of proportionality?

Back

It means that the ratios of the values in the table are not consistent, indicating that the relationship is not proportional.

Front

If the constant of proportionality is 9, what does that imply?

Back

It implies that for every unit increase in the independent variable, the dependent variable increases by 9 times that amount.

Front

What is an example of a proportional relationship?

Back

If you buy 2 apples for $4, then 4 apples would cost $8, maintaining a constant ratio of 2:4 or 1:2.

Front

What is the constant of proportionality if y = 3x?

Back

The constant of proportionality is 3.

Front

If a table shows values (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2 in this case).

Front

What is the constant of proportionality for the table: (1, 2), (2, 5), (3, 7)?

Back

There is no constant of proportionality because the ratios are not consistent.

Front

If the constant of proportionality is 0.75, what does that mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 0.75 times that amount.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.