Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented by 'k'. It remains constant as the values change.

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. If the ratio is the same for all pairs, that ratio is 'k'.

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation, indicating how much 'y' changes for a unit change in 'x'.

Front

What is the constant of proportionality if the table shows (2, 10) and (4, 20)?

Back

k = 5, since 10/2 = 20/4 = 5.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the two quantities is not constant; it changes as the values change.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality for the equation y = 3x?

Back

k = 3, since y increases by 3 for every increase of 1 in x.

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Front

What is the constant of proportionality if k = 1/4?

Back

The constant of proportionality is 0.25, indicating that for every 1 unit increase in x, y increases by 0.25.

Front

In a proportional relationship, if x = 10 and k = 2, what is y?

Back

y = k * x = 2 * 10 = 20.