Question

Tommy wants to make a model of a building in his city. The actual building is 900 feet tall. He wants to use a scale of 3.5 in. = 225 ft. Enter the height of the model.

Answer 1

`x = 900 ft(2.5 in)/(225 ft)= 10 in`

So then the model would have 10 inches.

Explanation:

For this case we know that the actual building measures 900 ft

And we have the following ratio between the scale model and the real structure 3.5 in = 225 ft.

So we can use the following proportion:

`(x in)/(900 ft) = (3.5 in)/(225 ft)`

Where x represent the height of the model at inches. And solving for x we got:

`x = 900 ft(2.5 in)/(225 ft)= 10 in`

So then the model would have 10 inches.

Answer 2

Answer: the height is 14 inches.

Explanation:

We know that the actual building is 900 feet tall. Tommy wants to make a model where 3.5 inches represent 225 feet.

So the first step is dividing the 900 feet of the building into groups of 225 feet.

this is:

N = 900/225 = 4

And for each of those 4 groups, we have 3.5 inches in the model, then the height of the model is:

H = 4*3.5 = 14 inches