Final answer:
The weight of a great white shark varies directly as the cube of its length. Using the given data, we can find the weight of a 25-foot long shark.
Step-by-step explanation:
We are given that the weight of a great white shark varies directly as the cube of its length. This means that the weight is proportional to the length cubed.
Let's use the formula of direct variation: y = kx^3, where y is the weight, x is the length, and k is the constant of variation.
We can use the given data to find the value of k:
2025 = k(15)^3
Now we can solve for k:
- 2025 = k(15)^3
- 2025 = 3375k
- k = 2025 / 3375
- k = 0.6
Now that we have the value of k, we can use it to find the weight of the 25-foot long shark:
Weight = 0.6(25)^3
Weight = 0.6(15625)
Weight = 9375 pounds