Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

The constant of proportionality (C.O.P.) is the constant value that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does the constant of proportionality represent in a table of values?

Back

It represents the ratio of the dependent variable to the independent variable, showing how much one quantity changes in relation to another.

Front

If a recipe calls for 3/4 cup of brown sugar for every 3 eggs, what is the unit rate of eggs per cup?

Back

4 eggs per cup.

Front

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

Back

1/2.

Front

What variable is commonly used to represent the constant of proportionality?

Back

k or K.

Front

If the constant of proportionality is 9, what does this mean in a proportional relationship?

Back

For every unit increase in the independent variable, the dependent variable increases by 9 units.

Front

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

Back

Identify two points on the line, calculate the ratio of the y-coordinate to the x-coordinate for one of the points.

Front

What is the unit rate of 90 miles in 2 hours?

Back

45 miles per hour.

Front

If y = 3x, what is the constant of proportionality?

Back

3.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the constant 'k' in the equation y = kx.