4.3.5 Constant of Proportionality Review

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is a constant ratio between two quantities that are directly proportional to each other.

Front

How do you find the Constant of Proportionality from a ratio?

Back

To find the Constant of Proportionality, divide one quantity by the other (e.g., y/x).

Front

If 2 gallons of paint cover 5 walls, what is the Constant of Proportionality?

Back

The Constant of Proportionality is 2.5 walls per gallon.

Front

If 8 tsp of sugar makes 24 cookies, what is the Constant of Proportionality?

Back

The Constant of Proportionality is 3 cookies per 1 tsp.

Front

What is the Constant of Proportionality for 12 items in 1 dozen?

Back

The Constant of Proportionality is 1/12.

Front

If 5 pounds of apples cost $6.25, what is the Constant of Proportionality?

Back

The Constant of Proportionality is $1.25 per pound.

Front

What does a Constant of Proportionality of 1.25 mean?

Back

It means that for every unit increase in one quantity, the other quantity increases by 1.25.

Front

How can you express the Constant of Proportionality in a formula?

Back

The Constant of Proportionality can be expressed as k = y/x, where k is the constant.

Front

If the ratio of y to x is 1.25, what is the Constant of Proportionality?

Back

The Constant of Proportionality is 1.25.

Front

What is the relationship between the Constant of Proportionality and direct variation?

Back

In direct variation, the Constant of Proportionality remains constant as the variables change.