Respuesta :
Answer:
The weight of body is 1.3040 gram.
Explanation:
Given that,
The weight y of a fiddler crab is directly proportional to the 1.25 power of the weight x of its claws.
Suppose a crab with a body weight of 1.8 gram has claws weighing 1.1 gram.
Estimate the weight of a fiddler crab with claws weighing 0.85 gram.
Determine the weight of crab body
We need to calculate the value of proportional constant
[tex]y\propto x^{1.25}[/tex]
[tex]y=kx^{1.25}[/tex]
[tex]k=\dfrac{y}{x^{1.25}}[/tex]
Put the value into the formula
[tex]k=\dfrac{1.8}{1.1^{1.25}}[/tex]
[tex]k=1.5978[/tex]
We need to calculate the crab weight
[tex]y=kx^{1.25}[/tex]
Here, x = 0.85 g
Put the value into the formula
[tex]y=1.5978\times(0.85)^{1.25}[/tex]
[tex]y=1.3040\ gram[/tex]
Hence, The weight of body is 1.3040 gram.
