An alligator's tail length is proportional to its body length. An alligator with a body length of 5.7 feet has a tail length of 6.4 feet. What is the tail length of an alligator whose body length is 9.9 feet?
To find the tail length of an alligator with a body length of 9.9 feet, we can use the information given: that the ratio of tail length to body length is consistent for alligators.
Let x be the tail length of the alligator with a body length of 9.9 feet.
Since the ratio between tail length and body length is constant, we can set up a proportion:
5.7/6.4 = 9.9/x
Cross multiplying, we get:
5.7x = 6.4 * 9.9
5.7x = 63.36
Dividing by 5.7 on both sides:
x = 63.36 / 5.7
x ≈ 11.12
Therefore, the tail length of an alligator with a body length of 9.9 feet is approximately 11.12 feet.