Question

The weight y of a fiddler crab is directly proportional to the 1.25 power of the weight x of its claws. A crab with a body weight of

Answer 1

1.3040 gram

Step-by-step explanation:

Answer 2

The weight of body is 1.3040 gram.

Step-by-step 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

`y\propto x^(1.25)`

`y=kx^(1.25)`

`k=(y)/(x^(1.25))`

Put the value into the formula

`k=(1.8)/(1.1^(1.25))`

`k=1.5978`

We need to calculate the crab weight

`y=kx^(1.25)`

Here, x = 0.85 g

Put the value into the formula

`y=1.5978*(0.85)^(1.25)`

`y=1.3040\ gram`

Hence, The weight of body is 1.3040 gram.