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

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

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
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Answer 1

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

Let:

• The number of visitors to Times Square be \( T = 17^4 \)
• The number of visitors to the Great Wall be \( G = 17^6 \)

We want to calculate the ratio \( \frac{G}{T} \):

\[ \frac{G}{T} = \frac{17^6}{17^4} \]

Using the properties of exponents, we can simplify this:

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

Now, we calculate \( 17^2 \):

\[ 17^2 = 289 \]

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

The correct response is:

289 times more people visited the Great Wall.