Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities, expressed in the form y = kx.

Front

If y = 2x, what is the constant of proportionality?

Back

k = 2

Front

If k = 6, what is the equation of proportionality?

Back

y = 6x

Front

What does it mean if k = 1/4 in a proportional relationship?

Back

It means that for every 1 unit increase in x, y increases by 1/4 units.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the value of y by the corresponding value of x for any pair of values.

Front

What is the constant of proportionality if y = 40 when x = 1?

Back

k = 40

Front

If the graph of a proportional relationship passes through the origin, what can be said about the constant of proportionality?

Back

The constant of proportionality is positive and can be determined by the slope of the line.

Front

What is the constant of proportionality for the equation y = 1/2x?

Back

k = 1/2

Front

If y = kx and k = 0.2, what is y when x = 10?

Back

y = 2 (since y = 0.2 * 10).

Front

What does it indicate if k = 0 in a proportional relationship?

Back

It indicates that y is always 0, regardless of the value of x.