Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It can be found by dividing one quantity by the other.

Front

What does 'k' represent in a proportional relationship?

Back

'k' represents the constant of proportionality, which is the ratio of two proportional quantities.

Front

How can you identify a proportional relationship in a graph?

Back

A graph shows 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 graph where y = 40x?

Back

The constant of proportionality is 40.

Front

If a table shows the values (2, 8), (4, 16), (6, 24), what is the constant of proportionality?

Back

The constant of proportionality is 4, since 8/2 = 4, 16/4 = 4, and 24/6 = 4.

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If the constant of proportionality is 3, what is the value of y when x = 5?

Back

y = 3 * 5 = 15.

Front

What does a proportional table look like?

Back

A proportional table has pairs of numbers where the ratio between the first and second number is constant.

Front

In the equation y = kx, what does 'k' indicate?

Back

'k' indicates the constant of proportionality between y and x.

Front

If a graph shows points (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2/1 = 4/2 = 6/3 = 2).