On an average weekend, 17^4people 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

14 times more people visited the Great Wall
24 times more people visited the Great Wall
70 times more people visited the Great Wall
49 times more people visited the Great Wall

1 answer

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

Let:

  • \( T \) = number of people who visit Times Square = \( 17^4 \)
  • \( G \) = number of people who visit the Great Wall of China = \( 17^6 \)

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:

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

Now we calculate \( 17^2 \):

\[ 17^2 = 289 \]

Thus, the answer is that on an average weekend, the Great Wall of China has 289 times more visitors than Times Square.

None of the provided options seems to match this answer. Please double-check the options or the context.