Scale factor

Carlos has a picture that is 12 inches tall and 9 inches wide. He wants to reduce the size of this picture so that it has a width of 3.6 inches. Carlos needs to determine the height of the reduced picture.

Juan found a set of blueprints for the new library. On the blueprints, the width of the library is 15 centimeters. Juan heard on the news that the library will be 22.5 meters wide.

What is the scale of the blueprints?

A model of a cell has a width of 12 inches. The actual cell is 3 micrometers wide (this is extremely small!).

What is the scale factor?

The Mariana Trench in the Pacific Ocean is 36,201 feet deep. Fiona is making a scale model of the ocean floor of the Pacific Ocean. The scale she is using is 1 inch to 3,291 feet.

In Fiona's scale model, how deep is the Mariana Trench?