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?(1 point)
Responses

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

14 times more people visit The Great Wall

1 answer

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

Let:

  • \( T \) be the number of people visiting Times Square: \( T = 7^4 \)
  • \( G \) be the number of people visiting the Great Wall: \( G = 7^6 \)

To find how many times more people visit the Great Wall than Times Square, calculate the ratio:

\[ \text{Ratio} = \frac{G}{T} = \frac{7^6}{7^4} \]

Using the properties of exponents:

\[ \frac{7^6}{7^4} = 7^{6-4} = 7^2 = 49 \]

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

The correct response is:

49 times more people visit The Great Wall.