Question

Lexie is making a model of the Empire State Building. The scale of the model is 1 inch = 9 feet. The needle at the top is 31.5 feet tall. How big should the needle be on the model?

Answer 1

3.5 inches

Explanation:

Set up a proportion:

`(9 ft)/(1 in) = (31.5 ft)/(x in)`

Cross multiply in order to solve for x:

9x = 31.5

Divide by nine:

x =
`(31.5)/(9)`

Simplify:

x= 3.5

Answer 2

The needle at the top of the model should be 3.5 inches.