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 the equation y = kx.

Front

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

Back

'k' represents the constant of proportionality, which is the factor by which one quantity changes in relation to another.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

The constant of proportionality is 2/3.

Front

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

Back

Divide the value of y by the value of x for any pair of corresponding values. If the ratio is constant, it is the constant of proportionality.

Front

What is the constant of proportionality in the equation y = 14x?

Back

The constant of proportionality is 14.

Front

If a car travels 60 miles in 1 hour, what is the constant of proportionality for distance to time?

Back

The constant of proportionality is 60 miles per hour.

Front

What does a constant of proportionality of 3 tiles per minute mean?

Back

It means that for every minute, 3 tiles are produced or used.

Front

Is the relationship between x and y in the equation y = 3x proportional?

Back

Yes, because there is a constant ratio of y to x, which is 3.

Front

If the constant of proportionality is 5, what is the value of y when x = 4?

Back

y = 5 * 4 = 20.

Front

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

Back

The constant of proportionality is 10/2 = 5.