Question

The Empire State Building reaches one thousand two hundred fifty feet at the top floor. Keira has a model of this landmark building that is 8 inches tall. What is the scale between the model and the actual building?

Answer 1

help me now

Answer 2

"Scale- The ratio of the length in a drawing (or model) to the length of the real thing.

Example: in the drawing anything with the size of "1" would have a size of "10" in the real world, so a measurement of 150mm on the drawing would be 1500mm on the real horse."

So the height of the Empire State Building is 1,250 ft.
The height of the model is 8 inches.

You first want to convert 1,250 ft into inches.
Since 12 inches is in 1 feet.
Then 1,250 * 12 would represent the height of the Empire State Building in inches.
So, 1,250 * 12 = ?

Answer 3

15000

Answer 4

Now they're asking you, "the scale between the model and the actual building"
Since, the model is 8 inches, and the actual building in inches is 15,000 inches.
You can put that into a ratio.
8:15,000
Or 8/15,000.

The final step is to simplify the ratio.
Do you know how to simplify?

Answer 5

no

Answer 6

Well, you want to find the greatest common factor of 8 and 15,000.
The easiest way to do it is to find any common factor of 8 and 15,000.
Do you think 2 is a common factor of 8 and 15,000?

Answer 7

yes

Answer 8

Great.
So divide 8 and 2.
And 15,000 and 2.

8/2 = 4.
15,000 / 2 = 7,500.

Now we have 4:7,500

Is it in simpliest form? Well, is 2 a common factor of 4 and 7,500?

Answer 9

so whats the answer

Answer 10

Well, answer my question first. Is 2 a common factor of 4, and 7,500?

Answer 11

what do I do

Answer 12

Divide 4 by 2
And 7,500 by 2.
What does that give you?

Answer 13

4 by 2 is 2

Answer 14

Good. And 7500 /2 = ?

Answer 15

3750

Answer 16

3750

Answer 17

Good. Now we have:
2:3750.
Can this be simplify more?
Well, 2 / 2 =?
3750 / 2 = ?

Answer 18

1875

Answer 19

Great. Now the scale looks like 1:1875.
It can't be simplfy more because the only common factor of 1 is 1.
So the answer is:
1: 1875 or 1/1875.

Answer 20

thx

Answer 21

No problem. :)
I hope this help.