Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented by 'k'.

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

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

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 y = 3x?

Back

The constant of proportionality is 3.

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.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If a table shows (2, 6), (4, 12), (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, since 6/2 = 12/4 = 18/6 = 3.

Front

What is the constant of proportionality for the graph that shows points (1, 2), (2, 4), (3, 6)?

Back

The constant of proportionality is 2.

Front

In the equation y = kx, if k = 4, what is y when x = 5?

Back

y = 20, since y = 4 * 5.