Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when they are directly proportional.

Front

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

Back

In the equation y = kx, k represents the constant of proportionality.

Front

If a table shows that 5 apples cost $10, what is the constant of proportionality?

Back

The constant of proportionality is $2 per apple.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of the change in y to the change in x.

Front

What is the unit rate of 12 miles in 3 hours?

Back

The unit rate is 4 miles per hour.

Front

If a recipe requires 2 cups of flour for every 5 cookies, what is the unit rate of cookies per cup?

Back

The unit rate is 2.5 cookies per cup.

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

Front

If 4 gallons of paint cover 200 square feet, what is the constant of proportionality in square feet per gallon?

Back

The constant of proportionality is 50 square feet per gallon.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

If a car travels 60 miles in 1 hour, what is the constant of proportionality in miles per hour?

Back

The constant of proportionality is 60 miles per hour.