Many relations in biology are expressed by power functions, known as allometric equations, of the form y = kxa, where k and a are constants. The weight of a certain snake is approximately 443x°grams, where x is its length in meters. If the snake has length 0.5 meters and is growing at the rate of 0.2 meters per year, at what rate is the snake gaining weight? .3. The rate at which the snake is gaining its weight is (Simplify your answer. Type an integer or a decimal.) grams per year.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 65E
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Many relations in biology are expressed by power functions, known as allometric equations, of the form
y = kxa, where k and a are constants. The weight of a certain snake is approximately 443x grams, where x is
its length in meters. If the snake has length 0.5 meters and is growing at the rate of 0.2 meters per year, at
what rate is the snake gaining weight?
The rate at which the snake is gaining its weight is
grams per year.
(Simplify your answer. Type an integer or a decimal.)
Transcribed Image Text:Many relations in biology are expressed by power functions, known as allometric equations, of the form y = kxa, where k and a are constants. The weight of a certain snake is approximately 443x grams, where x is its length in meters. If the snake has length 0.5 meters and is growing at the rate of 0.2 meters per year, at what rate is the snake gaining weight? The rate at which the snake is gaining its weight is grams per year. (Simplify your answer. Type an integer or a decimal.)
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