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

How can you find the constant of proportionality?

Back

You can find the constant of proportionality by calculating the unit rate, which is the ratio of the change in y to the change in x.

Front

What does a unit rate represent?

Back

A unit rate represents the amount of one quantity per one unit of another quantity.

Front

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

Back

1/2

Front

If $500 is earned for every 8 hours worked, what is the unit rate?

Back

The unit rate is $62.50 per hour.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

Which of the following represents a proportional relationship: (1, 2), (2, 4), (3, 6)?

Back

Yes, this represents a proportional relationship with a constant of proportionality of 2.

Front

What is the constant of proportionality in the table: (1, 3), (2, 6), (3, 9)?

Back

The constant of proportionality is 3.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the unit rate if 10 apples cost $20?

Back

The unit rate is $2 per apple.