Constant of Proportionality Practice

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 do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), is this a proportional relationship?

Back

Yes, the constant of proportionality is 3 (y = 3x).

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where y is directly proportional to x with k as the constant of proportionality.

Front

If 5 apples cost $10, what is the cost per apple?

Back

$2 per apple.

Front

What is the constant of proportionality for 100 miles in 2 hours?

Back

50 miles per hour.

Front

If a recipe requires 3 cups of flour for 12 cookies, how much flour is needed for 24 cookies?

Back

6 cups of flour.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a car travels 150 miles in 3 hours, what is the speed of the car?

Back

50 miles per hour.

Front

How do you express a proportional relationship in a table?

Back

By showing pairs of values where the ratio of the dependent variable to the independent variable is constant.