Brain weight b as a function of body weight w in fish has been modeled by the power function b = 0.007w2/3, where b and w are measured in grams. a model for body weight as a function of body length l (measured in centimeters) is w = 0.12l2.53. if, over 10 million years, the average length of a certain species of fish evolved from 14 cm to 23 cm at a constant rate, how fast was this species' brain growing when the average length was 19 cm? (round your answer to four significant figures.)

Step-by-step explanation:

We need to know how fast the brain of the species grows at the point where its average length was 19 cm.

In other words we need to find:

Now we need to find

In the statement of the problem it is said that  is constant.

It is also said that the length changed from 14 to 23 cm in years.

So:

Now we find

Now we find W and for L = 19

Now replace   and W in the main equation of

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step-by-step explanation:

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