Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

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 change in x.

Front

Calculate the constant of proportionality if y = 30 when x = 6.

Back

k = y/x = 30/6 = 5.

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality for speed?

Back

The constant of proportionality (speed) is 45 mph.

Front

What is the relationship between proportionality and linear equations?

Back

Proportionality indicates a linear relationship where the ratio of y to x is constant.

Front

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

Back

k = 3.

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

102 words per minute.

Front

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

Back

1/2.

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity changes, the other quantity changes at a constant rate.

Front

If the constant of proportionality is 5, what is the value of y when x = 10?

Back

y = kx = 5 * 10 = 50.