A biologist has discovered that the weight of a certain fish is a power function of its length. He also knows that when the length of the fish is tripled, its weight increases by a factor of 81. What is the power k?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 32E
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A biologist has discovered that the weight of a certain fish is a power function of its length. He also knows that when the length of the fish is tripled, its weight increases by a factor of 81. What is the power k?

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