What is constant of proportionality?

In a proportional relationship, the constant of proportionality is the constant value relating the amount of two variables. It is often represented by the letter k.

Here's a breakdown:

• Definition: The constant%20of%20proportionality describes the ratio between two quantities that are directly proportional. It's the number you multiply one quantity by to get the other.

• Direct Proportionality: If y is directly proportional to x, this relationship can be expressed as y = kx, where k is the constant%20of%20proportionality.

• Finding the Constant: To find the constant of proportionality (k), you can use the formula k = y/x, where y and x are corresponding values from the proportional relationship.

• Importance: Understanding the constant%20of%20proportionality allows you to:

  • Predict values in a proportional relationship.
  • Compare different proportional relationships.
  • Write equations that model proportional situations.

• Examples:

  • If you earn $15 per hour, the constant%20of%20proportionality between your earnings and the number of hours you work is $15.
  • In a recipe, if you need 2 cups of flour for every 1 cup of sugar, the constant%20of%20proportionality relating flour to sugar is 2.