An alligator’s tail length, T, varies directly at its body length, B. An alligator with a body length of 3.2 feet has a tail length of 2 feet. What is the tail length of an alligator whose body length is 4.8 feet?

To solve this problem, we need to use the concept of direct variation. In direct variation, two variables, in this case, the tail length (T) and the body length (B), are related proportionally. We can write this relationship as:

T = k * B

Where k is the constant of variation.

To find the value of k, we can use the given information. We know that when the body length is 3.2 feet, the tail length is 2 feet. We can substitute these values into the equation:

2 = k * 3.2

Now, we can solve for k:

k = 2 / 3.2
k = 0.625

We have found the value of k, which is 0.625. Now, we can use this value to find the tail length when the body length is 4.8 feet. Substitute the values into the equation:

T = 0.625 * 4.8

Now we can calculate the tail length:

T = 3

Therefore, the tail length of an alligator with a body length of 4.8 feet will be 3 feet.

Cross multiply and solve for T

3.2/2 = 4.8/T