Defining The Constant Of Proportionality

Defining The Constant Of Proportionality

Introduction to the Constant of Proportionality

Opening

Introduction to the Constant of Proportionality

Look at the table you completed comparing the dimensions of the real Empire State Building with those of the miniature building.

  • What is the constant ratio in the table?

The constant ratio in a proportional relationship is called the constant of proportionality.

You can use the constant of proportionality to write a formula that represents the relationship between the quantities that vary.

  • Let m be the height of the miniature.
  • Let r be the height of the real building.

The formula that represents the proportional relationship between the dimensions of the real building and the miniature building is r = 20m.

The 20 in the formula is the constant of proportionality.

The formula for a proportional relationship has the form

y = kx

where k is the constant of proportionality.

INTERACTIVE: Introducting the Constant of Proportionality

1 of 9