On an average weekend, 17^4

Question

people visit Times Square and 17^6
people visit the Great Wall of China. On an average weekend, how many times more people visit the Great Wall of China than Times Square?(1 point)
Responses

17 times more people visited the Great Wall
17 times more people visited the Great Wall

289 times more people visited the Great Wall
289 times more people visited the Great Wall

34 times more people visited the Great Wall
34 times more people visited the Great Wall

2 times more people visited the Great Wall
2 times more people visited the Great Wall

Answer 1

To find out how many times more people visit the Great Wall of China compared to Times Square, we can divide the number of visitors at the Great Wall by the number of visitors at Times Square.

Let:

• Number of visitors at Times Square = \( 17^4 \)
• Number of visitors at the Great Wall of China = \( 17^6 \)

Now, we compute the ratio:

\[ \text{Ratio} = \frac{17^6}{17^4} \]

Using the properties of exponents, we can simplify this:

\[ \frac{17^6}{17^4} = 17^{6-4} = 17^2 \]

Now, calculating \( 17^2 \):

\[ 17^2 = 289 \]

Therefore, on an average weekend, 289 times more people visit the Great Wall of China than Times Square.

The correct response is:

289 times more people visited the Great Wall.