8.EE.5: Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

In the equation y = ½x, what is the constant of proportionality?

Back

1/2

Front

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

Back

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

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. If the ratio is constant, that ratio is the constant of proportionality.

Front

If Justin ordered 5 ice cream bars for $12.25, how much was each ice cream bar?

Back

$2.45

Front

Identify the constant of proportionality in the equation y = 3x.

Back

k = 3

Front

What is the constant of proportionality if y = 10 when x = 2?

Back

k = 5 (since 10/2 = 5).

Front

If the constant of proportionality is 4, what is the value of y when x = 6?

Back

y = 24 (since y = 4 * 6).

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity increases or decreases, the other quantity does so at a constant rate.

Front

If k = 1/5, what is the value of y when x = 15?

Back

y = 3 (since y = (1/5) * 15).