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7. Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship log S = log e + k log A, where e and k are positive constants that depend on the type of species and habitat. a. Solve the equation for S. Your answer must be simplified and should not contain any logarithms. b. Assume that k=2.6 and c=3100, and that A is measured in hundreds of square miles. Use part (a) to find the number of species on an island with an area of 400 square miles.

7. Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship log S = log e + k log A, where e and k are positive constants that depend on the type of species and habitat. a. Solve the equation for S. Your answer must be simplified and should not contain any logarithms. b. Assume that k=2.6 and c=3100, and that A is measured in hundreds of square miles. Use part (a) to find the number of species on an island with an area of 400 square miles.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship log S = log e + k log A, where e and k are positive constants that depend on the type of species and habitat. a. Solve the equation for S. Your answer must be simplified and should not contain any logarithms. b. Assume that k=2.6 and c=3100, and that A is measured in hundreds of square miles. Use part (a) to find the number of species on an island with an area of 400 square miles.
Transcribed Image Text:7. Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship log S = log e + k log A, where e and k are positive constants that depend on the type of species and habitat. a. Solve the equation for S. Your answer must be simplified and should not contain any logarithms. b. Assume that k=2.6 and c=3100, and that A is measured in hundreds of square miles. Use part (a) to find the number of species on an island with an area of 400 square miles.
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