Question

An architect built a scale model of a shopping mall. On the model, a circular fountain is 20 inches tall and 22.5 inches in diameter. If the actual fountain is to be 8 feet tall, what is its diameter? Plz help makes no sense.

Answer 1

You would set up a ratio equality to convert the diameter.

Answer 2

How would it look when set up?

Answer 3

First, convert the 8 feet to inches. Then the ratio of the actual height to the model height equals the actual diameter to the model diamter.

Answer 4

You use a fraction to get the ratio.

Answer 5

When it is set up, it will look like one fraction equaling another.

Answer 6

How do you convert the 8 feet to inches?

Answer 7

How many inches in one foot? Then, how many inches in 8 feet?

Answer 8

12.. so 8 * 12?

Answer 9

Yes, good so far. So, now set up the first fraction of actual height to model height.

Answer 10

96/ 20?

Answer 11

Yes. Now that fraction, which is also conceptually a ratio, will be equal to the ratio of the actual diamter to the model diameter.

Answer 12

so 96/20 = 22.5/ x?

Answer 13

We are solving for the actual diameter, so just call it "x" for now. You are close but off a bit. You have to actual on top (numerator) for both sides. On the right side, you have it in the denominator.

Answer 14

So, just flip over the right side.

Answer 15

96/ 20 = x / 22.5?

Answer 16

Yes, very good. You are almost done. You only have to solve for "x" now.

Answer 17

96 * 22.5 = 2025 / 20 x = 101.25?

Answer 18

I'll re-write your previous equation where it was still on track:\[\frac{ 96 }{ 20 } = \frac{ x }{ 22.5 }\]gives:\[\frac{ 96 \times 22.5 }{ 20 } = x\]

Answer 19

It's not 101.25

Answer 20

ah, think I change a number or something.. x = 108

Answer 21

You got it! Good job!

Answer 22

:)! U sure its 108.. just asking cuz its not one of my choices I have 105 but not 108

Answer 23

If you wrote out the problem correctly, then 108 is definitely the answer.

Answer 24

Yeahh I copied and paste it. Um, that's weird.

Answer 25

Sometimes the answer key is off because it could have a typo. That doesn't happen often, but it does happen.

Answer 26

Wait I don't even have 105 its 10.5.. u sure that 108 is the diameter?

Answer 27

108 inches.

Answer 28

This problems a pain lol

Answer 29

108 inches is 9 feet. Is one of your answers "9"?

Answer 30

:) Yeah!

Answer 31

Then you have "9" for your answer. Looks like the key is right after all, and so was my answer (both ways).

Answer 32

Good luck to you in all of your studies and thanks for the recognition! @LilVeroDez13

Answer 33

:) yes it was. thanks a lot!! would u mind helping me with one more? :)

Answer 34

np

Answer 35

Thanks! and ur welcome (:

Answer 36

Just start a new thread.

Answer 37

Ok :)