Question
The Sears Tower in Chicago is 1.450 feet tall. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower?
(1 point)
A. 1:725
B. 725.1
C.12.725
D.725 12
(1 point)
A. 1:725
B. 725.1
C.12.725
D.725 12
Answers
GPT 3.5
To find the ratio of the height of the model to the height of the actual Sears Tower, we can set up a proportion:
x / 1450 = 24 / 1
Cross-multiplying gives us:
x = 1450 * 24 = 34,800 inches
So, the ratio of the height of the model to the height of the actual Sears Tower is:
24:34,800
Simplifying this ratio by dividing both numbers by 24 gives us:
1:1450
Therefore, the correct answer is:
A. 1:725
x / 1450 = 24 / 1
Cross-multiplying gives us:
x = 1450 * 24 = 34,800 inches
So, the ratio of the height of the model to the height of the actual Sears Tower is:
24:34,800
Simplifying this ratio by dividing both numbers by 24 gives us:
1:1450
Therefore, the correct answer is:
A. 1:725