An​ alligator's tail length is proportional to its body length. An alligator with a body length of 5.4 feet has a tail length of 6.1 feet. What is the tail length of an alligator whose body length is 8.3 ​feet?

Answer 1

To solve this problem, we first need to determine the proportionality ratio between the body length and tail length of the alligator.

Let x be the tail length of an alligator with a body length of 8.3 feet.

We can set up a proportion to find x:

5.4/6.1 = 8.3/x

Cross multiplying, we get:

5.4x = 8.3*6.1
5.4x = 50.63
x ≈ 9.38

Therefore, the tail length of an alligator with a body length of 8.3 feet is approximately 9.38 feet.