On an average weekend, 7^4 people visit Times Square and 7^6 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?

Question

options:

49 times more people visit The Great Wall
49 times more people visit The Great Wall

14 times more people visit The Great Wall
14 times more people visit The Great Wall

24 times more people visit The Great Wall
24 times more people visit The Great Wall

70 times more people visit The Great Wall

Answer 1

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

1. Calculate the number of visitors to Times Square: \[ \text{Visitors to Times Square} = 7^4 \]

2. Calculate the number of visitors to the Great Wall of China: \[ \text{Visitors to the Great Wall} = 7^6 \]

3. Find the ratio: \[ \text{Ratio} = \frac{\text{Visitors to the Great Wall}}{\text{Visitors to Times Square}} = \frac{7^6}{7^4} \]

4. Simplifying the ratio: \[ \frac{7^6}{7^4} = 7^{6-4} = 7^2 = 49 \]

Thus, on average, 49 times more people visit the Great Wall of China than Times Square.

Therefore, the correct answer is:

49 times more people visit The Great Wall.