## Height of the Miniature

## Work Time

# Height of the Miniature

An amusement park has a miniature scale model of New York City. The dimensions of the buildings in the miniature city are proportional to the dimensions of the real buildings—that is, the ratio between the dimensions of the miniature buildings and the dimensions of the real buildings is constant.

The height of the real Empire State Building is 1,454 feet. Suppose that the miniature Empire State Building had been constructed using a 20:1 ratio or scale.

- Fill in the missing dimensions in the table based on this scale.
- Does the table represent a proportional relationship? Explain why or why not.

INTERACTIVE: Using Scale to Determine Dimension

## Hint:

To find the height of the Empire State Building miniature, write an equation that sets the ratio 20 : 1 equal to the ratio of the height of the real building to the height of the miniature building.