Many relations in biology are expressed by power functions, known as allometric equations, of the form y equals kx Superscript a, where k and a are constants. The weight of a certain snake is approximately 439 x cubedgrams, where x is its length in meters. If the snake has length 0.5 meters and is growing at the rate of 0.3 meters per year, at what rate is the snake gaining weight?

The snake is gaining weight at a rate 110.925 gram per year.

Step-by-step explanation:

Give that,

The weight of the snake is .

Differentiating with respect to t

The snake is growing at the rate 0.3 meter per year. That is m per year.

Putting the value of

The length of the snake is 0.5 meter. i.e x= 0.5

                   =110.925 gram per year

The snake is gaining weight at a rate 110.925 gram per year.

5.5

step-by-step explanation: