Brain weight B  as a function of body weight W in fish hasbeen modeled by the power function B= 0.007W2/3 ,where B  and  W are measured in grams. A model for bodyweight as a function of body length L (measured in centimeters)is W =0.12L2.53 . If, over 10 million years, the averagelength of a certain species of fish evolved from 15 cmto 20 cm at a constant rate, how fast was this species’ braingrowing when the average length was 18 cm?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
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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 15 cm
to 20 cm at a constant rate, how fast was this species’ brain
growing when the average length was 18 cm?

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