On an average weekend, 17^4 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)

Question

Responses:

17 times more people visited the Great Wall
17 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

289 times more people visited the Great Wall

Answer 1

To find how many times more people visit the Great Wall of China compared to Times Square, we need to compare the two values:

• The number of people visiting Times Square: \( 17^4 \)
• The number of people visiting the Great Wall of China: \( 17^6 \)

Now, we'll find the ratio of the number of visitors to the Great Wall to the number of visitors to Times Square:

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

Using the properties of exponents, this simplifies to:

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

Calculating \( 17^2 \):

\[ 17^2 = 289 \]

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

Thus, the correct response is:

289 times more people visited the Great Wall.