Constant of Proportionality (Tables & Graphs)

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality (k) is the ratio of two proportional quantities, indicating how one quantity changes in relation to another.

Front

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

Back

To find the Constant of Proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the Constant of Proportionality, which shows the relationship between x and y.

Front

What does it mean 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

If the Constant of Proportionality is 3, what does this imply?

Back

If the Constant of Proportionality is 3, it means that for every unit increase in x, y increases by 3 units.

Front

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

Back

The Constant of Proportionality is 2, as each y value is double the corresponding x value.

Front

Is the relationship between (2, 4) and (4, 8) proportional?

Back

Yes, the relationship is proportional because the ratio of y to x is constant (2).

Front

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

Back

The Constant of Proportionality is 1/4, as each y value is 1/4 of the corresponding x value.

Front

If a table shows (0, 0), (1, 5), (2, 10), is it proportional?

Back

Yes, it is proportional with a Constant of Proportionality of 5.

Front

What is the formula to calculate the Constant of Proportionality?

Back

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