Calculate the Weight of a Fiddler Crab Based on its Claws Weight

What is the weight of a fiddler crab's body if its claws weigh 0.85 grams? The weight of body is 1.3040 grams.

Calculation of Fiddler Crab's Body Weight

Given: The weight y of a fiddler crab is directly proportional to the 1.25 power of the weight x of its claws.

Let's suppose a fiddler crab has a body weight of 1.8 grams and its claws weigh 1.1 grams. We are asked to estimate the weight of the crab's body if its claws weigh 0.85 grams.

To calculate the weight of the crab's body, we first need to find the proportional constant k in the proportionality equation y = kx^1.25, where y is the body weight and x is the claws weight. From the given data, we can calculate k as follows:

k = y / x^1.25 k = 1.8 / 1.1^1.25 k = 1.5978

Now, by substituting the claws weight of 0.85 grams into the formula, we can calculate the weight of the fiddler crab's body:

y = 1.5978 * (0.85)^1.25 y = 1.3040 grams

Hence, the weight of the fiddler crab's body is 1.3040 grams when its claws weigh 0.85 grams.

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